Exhibit 99.1

FOR IMMEDIATE RELEASE

J. Alexander’s Holdings, Inc. Reports Results

For Third Quarter Ended September 30, 2018

Higher Same Store Sales Posted By Both Concepts

NASHVILLE, TN, Nov. 7, 2018 — J. Alexander’s Holdings, Inc. (NYSE: JAX) (the Company), owner and operator of a collection of restaurants which includes J. Alexander’s, Redlands Grill, Stoney River Steakhouse and Grill and selected other restaurants, today reported financial results for the third quarter ended September 30, 2018.

Third Quarter 2018 Highlights Compared to the Third Quarter of 2017

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For the third quarter of 2018, the Company’s restaurant labor and related costs as a percentage of net sales were 32.8% compared to 32.6% of net sales in the third quarter of 2017. Other restaurant operating expenses were 21.1% of net sales in the third quarter of 2018 and 21.5% of net sales in the third quarter of 2017.

The Company’s operating loss for the third quarter of 2018 was $542,000 compared to an operating loss of $1,392,000 for the third quarter of 2017.

The average weekly guest counts within the same store base of the Company’s J. Alexander’s/Grills collection were down 0.6% in the third quarter of 2018 compared to the third quarter of the prior year. Guest counts within the same store base at the Company’s Stoney River Steakhouse and Grill restaurants were up 4.5% for the third quarter of 2018 over the third quarter of 2017. With respect to average guest checks, which include alcoholic beverage sales, the average guest check within the J. Alexander’s/Grills same store base of restaurants during the third quarter of 2018 was $31.84, up 3.1% from $30.87 during the third quarter of 2017. The average guest check within the same store base of Stoney River Steakhouse and Grill restaurants was $42.67 during the third quarter of 2018, up 0.9% from $42.29 posted in the corresponding quarter of 2017.

On a consolidated basis, average weekly guest counts within the Company’s J. Alexander’s/Grills locations in the third quarter of 2018 were down 2.4% from the third quarter of 2017, while average weekly guest counts within the Company’s Stoney River Steakhouse and Grill locations increased 5.2% for the third quarter of

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2018 compared to the third quarter of 2017. Average guest checks for the combined J. Alexander’s/Grills concepts increased 3.4% from $30.90 in the third quarter of 2017 to $31.95 for the third quarter of 2018. Average guest checks for the Stoney River Steakhouse and Grill restaurants increased 0.5% from $42.19 in the third quarter of 2017 to $42.41 in the third quarter of 2018.

The effect of menu pricing for the third quarter of 2018 was estimated to be a 2.3% increase for the J. Alexander’s/Grills restaurants and a 2.4% increase for the Stoney River Steakhouse and Grill restaurants compared to the corresponding quarter of 2017. Inflation in food costs for the third quarter of 2018 was estimated to total 0.9% for the J. Alexander’s/Grills restaurants, with beef costs increasing by an estimated 1.3% compared to the third quarter of 2017. For the Stoney River Steakhouse and Grill restaurants, inflation for the third quarter of 2018 was estimated to total 0.2%, with beef costs up by 0.5% from the comparable quarter of 2017.

During the third quarter of 2017, six of the Company’s restaurants in Florida were closed for a total of 36 days due to the impact of Hurricane Irma. Management estimates the impact of such closures was approximately $650,000 in lost revenue, and a decrease to income from continuing operations before income taxes of approximately $400,000, consisting of approximately $300,000 of lost restaurant operating profit and approximately $100,000 of food spoilage losses, cleanup costs and expenses associated with reopening the restaurants. During the third quarter of 2018, the Company closed its restaurants in North Carolina for a total of three days due to the impact of Hurricane Florence. Management estimates lost revenue of approximately $30,000 in the third quarter of 2018 related to these closed days.

Board Approves Stock Repurchase Program

The Company’s board of directors has authorized a share repurchase program, replacing the program that has been in place since October 29, 2015. The board authorized the Company to purchase up to $15,000,000 of its common stock in the aggregate over a three-year period ending November 1, 2021. Under the prior program, the Company repurchased 305,059 shares of common stock over three years for an aggregate purchase price of $3,203,000, using cash on hand and operating cash flow to fund such purchases. Share repurchases under the newly authorized program are expected to be made solely from cash on hand and available operating cash flow. Repurchases will be made in accordance with applicable securities laws and may be made from time to time in the open market. The timing,

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prices and amount of repurchases will depend upon prevailing market prices, general economic and market conditions and other considerations. The repurchase program does not obligate the Company to acquire any particular amount of stock.

Chief Executive Officer’s Comments

“We were pleased with our results in virtually all areas,” said Lonnie J. Stout II, President and Chief Executive Officer of J. Alexander’s Holdings, Inc. “Historically, the third quarter of our fiscal year is the most challenging, so we were encouraged by higher same store sales in both restaurant groups, which has provided both concepts momentum in the final quarter of 2018.”

Stout cited several highlights of the third quarter, including a decrease in cost of sales which resulted in a corresponding increase in Restaurant Operating Profit Margin.

“We were pleased with our overall sales performance, but need to ramp up sales at some of our newer locations,” Stout said. “We are aggressively implementing various strategies to heighten guest awareness as we enter the 2018 holiday season in order to drive sales and generate more guest trial.” He added that the Company took a menu price increase of approximately one percent in June 2018 which has been met with no discernible guest resistance.

“By almost all metrics, we recorded a good third quarter in our J. Alexander’s/Grills group,” Stout observed.

The Company’s Stoney River Steakhouse and Grill collection turned in another strong quarter with respect to both increased guest counts and sales. Stout pointed out that, consistent with trends discussed in prior quarters of 2018, most of the increase generated during the most recent quarter within the Stoney River Steakhouse and Grill same store base of restaurants was organic.

“Overall, we had a strong quarter at Stoney River,” Stout said. “As a result of a more normalized beef market in 2018, coupled with the continued strong momentum we’re experiencing across most of our Stoney River locations, we are encouraged about our prospects for the fourth quarter and into 2019.”

Stout said the Company remains “guardedly optimistic” that the beef market will continue to perform as anticipated in the near term. “We do expect that there will be some upward pressure on demand and are not expecting any windfalls in pricing during the final quarter of 2018, but we anticipate our beef costs will remain within acceptable price points as we wrap up 2018.”

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“We are pleased with our momentum heading into the final quarter of the year. We continue to be committed to driving sales growth,” Stout concluded.

Highlights for the First Nine Months of 2018

For the nine months ended September 30, 2018, the Company recorded net sales of $179,059,000, up 4.2% from $171,917,000 recorded in the first nine months of 2017. Within the J. Alexander’s/Grill restaurants, average weekly same store sales per restaurant were $114,900 for the nine months ended September 30, 2018, an increase of 1.5% from $113,200 achieved in the same three quarters of 2017. For the Stoney River Steakhouse and Grill restaurants, average weekly same store sales per restaurant advanced 6.0% from $73,700 in the first nine months of 2017 to $78,100 in the first nine months of 2018.

Income from continuing operations before income taxes for the nine months ended September 30, 2018 was $3,332,000, up 59.7% from $2,086,000 reported for the same three quarters a year ago. These balances reflect the impact of $933,000 in transaction expenses for the first nine months of 2018 compared to $2,435,000 in transaction expenses for the corresponding nine months of 2017.

During the first nine months of 2018, the Black Knight profits interest grant resulted in noncash profits interest expense of $3,094,000, an increase of 80.4% from profits interest expense of $1,715,000 reported in the same nine months of 2017. For the first three quarters of 2018, the Company accrued consulting fees of $587,000 from its management agreement with Black Knight compared to $559,000 of expense in the first nine months of 2017.

The Company posted net income of $3,065,000 in the first nine months of 2018, up 53.7% from $1,994,000 for the same three quarters of 2017. Adjusted EBITDA for the first three quarters of 2018 totaled $18,258,000, up 8.7% from $16,792,000 recorded in the first nine months of 2017. Basic earnings per share and diluted earnings per share totaled $0.21 in the first nine months of 2018. In the comparable three quarters of 2017, basic earnings per share totaled $0.14 while diluted earnings per share totaled $0.13. See attached “Adjusted EBITDA Reconciliation” for the Company’s definition of Adjusted EBITDA and a reconciliation to net income.

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Guest counts within the same store base of restaurants decreased by 1.1% within the J. Alexander’s/Grill restaurants for the first three quarters of 2018 and increased 6.3% within the Stoney River Steakhouse and Grill restaurants during the same three quarters. The average guest check within the same store base at the combined J. Alexander’s/Grill restaurants increased 2.7% from $30.92 for the first nine months of 2017 to $31.76 for the first three quarters of 2018, while the average guest check within the Stoney River Steakhouse and Grill same store base of restaurants decreased by 0.3% from $42.73 in the first three quarters of 2017 to $42.60 for the first nine months of 2018. The effect of menu price changes for the first three quarters of 2018 was estimated to be a 2.0% increase at the J. Alexander’s/Grill locations and a 1.9% increase at the Stoney River Steakhouse and Grill restaurants compared to the first nine months of 2017.

Cost of sales as a percentage of net sales for the first three quarters of 2018 was 31.6% compared to 31.9% for the first nine months of 2017. The estimated effect of inflation in food costs for the first three quarters of 2018 was 1.0% for the J. Alexander’s/Grill restaurants, with beef costs declining by approximately 0.4% compared to the same nine months a year earlier. For the Stoney River Steakhouse and Grill restaurants, deflation was estimated to be 0.4% during the first nine months of 2018, including an estimated decrease of 1.8% in beef costs compared to the first three quarters of 2017.

Restaurant Development

During the third quarter of 2018, the Company continued construction on a new Stoney River Steakhouse and Grill in Troy, MI. This restaurant, located near one of the Company’s highest volume J. Alexander’s locations, opened on October 29, 2018. The Company anticipates opening three new restaurants in 2019 and will announce details once leases related to such sites have been executed.

Outlook for 2018/Guidance

Our performance outlook is based on current information as of November 7, 2018. The Company does not expect to update its 2018 guidance as set forth below before the fourth quarter’s earnings release. However, the information on which the outlook is based is subject to change, and the Company may update its full business outlook or any portion thereof at any time for any reason.

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Based upon current information, the guidance for the 2018 fiscal year is as follows:

With respect to anticipated capital expenditures, the guidance for the 2018 fiscal year is the same as reported on August 8, 2018.

Conference Call

The Company will hold a conference call on Thursday, November 8, 2018, at 10 a.m., Central time, to discuss its financial results for the third quarter ended September 30, 2018. The conference call can be accessed live over the phone by dialing 1-877-407-0789 (Toll-Free) or 1-201-689-8562 (Toll/International). To access the call via the internet, go to J. Alexander’s website at http://investor.jalexandersholdings.com or http://public.viavid.com/index.php?id=131834. A replay of the conference call will be available shortly following the conclusion of the call (beginning at 1 p.m. Central Time) at http://investor.jalexandersholdings.com and http://public.viavid.com/index.php?id=131834, as well as by dialing 1-844-512-2921 or 1-412-317-6671 and providing the access code 13684200. The replay will be accessible through November 15, 2018 via telephone, and for 30 days on the internet.

About J. Alexander’s Holdings, Inc.

J. Alexander’s Holdings, Inc. is a collection of restaurants that focus on providing high quality food, outstanding professional service and an attractive ambiance. The Company presently operates 46 restaurants in 16 states. The Company has its headquarters in Nashville, TN.

For additional information, visit www.jalexandersholdings.com.

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Forward-Looking Statements

This press release issued by J. Alexander’s Holdings, Inc. contains forward-looking statements, which include all statements that do not relate solely to historical or current facts, such as statements regarding our expectations, intentions or strategies regarding the future. These forward-looking statements are based on management’s beliefs, as well as assumptions made by, and information currently available to, management. Because such statements are based on expectations as to future financial and operating results and are not statements of fact, actual results may differ materially from those projected and are subject to a number of known and unknown risks and uncertainties, including the Company’s ability to maintain satisfactory guest count levels and maintain or increase sales and operating margins in its restaurants under varying economic conditions; the effect of higher commodity prices, unemployment and other economic factors on consumer demand; increases in food input costs or product shortages and the Company’s response to them; the number and timing of new restaurant openings and the Company’s ability to operate them profitably; competition within the casual dining industry and within the markets in which our restaurants are located; adverse weather conditions in regions in which the Company’s restaurants are located; factors that are under the control of third parties, including government agencies; as well as other risks and uncertainties described under the headings “Forward-Looking Statements,” “Risk Factors” and other sections of the Company’s Annual Report on Form 10-K filed with the Securities and Exchange Commission on March 15, 2018 and subsequent filings. The Company undertakes no obligation to update any forward-looking statements, whether as a result of new information, future events or otherwise.

Contact:

J. Alexander’s Holdings, Inc.

Mark A. Parkey

Chief Financial Officer

(615) 269-1900

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J. Alexander’s Holdings, Inc. and Subsidiaries

Condensed Consolidated Statements of Operations

(Unaudited in thousands, except per share amounts)

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J. Alexander’s Holdings, Inc. and Subsidiaries

Condensed Consolidated Statements of Operations Data as a Percentage of Net Sales and

Other Financial and Performance Data (Unaudited)

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J. Alexander’s Holdings, Inc. and Subsidiaries

Condensed Consolidated Balance Sheets

(Unaudited in thousands)

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J. Alexander’s Holdings, Inc. and Subsidiaries

Condensed Consolidated Statements of Cash Flows

(Unaudited in thousands)

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J. Alexander’s Holdings, Inc. and Subsidiaries

Non-GAAP Financial Measures and Reconciliations

(Unaudited in thousands)

Non-GAAP Financial Measures

Within this press release, we present the following non-GAAP financial measures which we believe are useful to investors as key measures of our operating performance:

We define Adjusted Earnings Before Interest, Taxes, Depreciation and Amortization, or “Adjusted EBITDA”, as net income (loss) before interest expense, income tax expense (benefit), depreciation and amortization, and adding asset impairment charges and restaurant closing costs, loss on disposals of fixed assets, transaction and integration costs, non-cash compensation, loss from discontinued operations, gain on debt extinguishment and pre-opening costs.

Adjusted EBITDA is a non-GAAP financial measure that we believe is useful to investors because it provides information regarding certain financial and business trends relating to our operating results and excludes certain items that are not indicative of our operations. Adjusted EBITDA does not fully consider the impact of investing or financing transactions as it specifically excludes depreciation and interest charges, which should also be considered in the overall evaluation of our results of operations.

We define “Restaurant Operating Profit” as net sales less restaurant operating costs, which are cost of sales, restaurant labor and related costs, depreciation and amortization of restaurant property and equipment, and other operating expenses. Restaurant Operating Profit is a non-GAAP financial measure that we believe is useful to investors because it provides a measure of profitability for evaluation that does not reflect corporate overhead and other non-operating or unusual costs. “Restaurant Operating Profit Margin” is the ratio of Restaurant Operating Profit to net sales.

Our management uses Adjusted EBITDA and Restaurant Operating Profit to evaluate the effectiveness of our business strategies. We caution investors that amounts presented in accordance with the above definitions of Adjusted EBITDA or Restaurant Operating Profit may not be comparable to similar measures disclosed by other companies, because not all companies calculate these non-GAAP financial measures in the same manner. Adjusted EBITDA and Restaurant Operating Profit should not be assessed in isolation from, or construed as a substitute for, net income or other measures presented in accordance with GAAP.

A reconciliation of these non-GAAP financial measures to the closest GAAP measure is set forth in the following tables:

Note: For purposes of computing Adjusted EBITDA, the $1,240 and $40 for the quarters ended September 30, 2018 and October 1, 2017, respectively, and $3,094 and $1,715 for the nine months ended September 30, 2018 and October 1, 2017, respectively, in non-cash compensation associated with a profits interest grant issued to Black Knight Advisory Services, LLC (“BKAS”) on October 6, 2015 has been included in “Non-cash compensation” above. Additional expenses associated with the Company’s management agreement with BKAS totaling $139 and $120 for the quarters ended September 30, 2018 and October 1, 2017, respectively, and totaling $587 and $559 for the nine months ended September 30, 2018 and October 1, 2017, respectively, are included in general and administrative expenses and have not been included in the reconciliation set forth above.

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J. Alexander’s Holdings, Inc. and Subsidiaries

Non-GAAP Financial Measures and Reconciliations

(Unaudited in thousands)

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J. Alexander’s Holdings, Inc. and Subsidiaries

Reconciliation of Updated Guidance Range for 2018 Adjusted EBITDA

(Unaudited in thousands)

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