Exhibit 99.1

CONTINENTAL BUILDING PRODUCTS REPORTS FIRST QUARTER 2014 RESULTS

Herndon, Virginia, May 12, 2014. Continental Building Products, Inc. (NYSE: CBPX), a leading manufacturer of gypsum wallboard and complementary finishing products, announced today results for the first quarter ended March 31, 2014.

Highlights of First Quarter 2014 (Successor) as Compared to First Quarter 2013 (Predecessor)

“We are pleased with the continued pricing momentum in our business evidenced by the sequential quarterly increase in the average mill net price of our U.S. operations, which grew 11.5% compared to the fourth quarter of 2013,” stated Ike Preston, Continental’s CEO. “We achieved these strong price gains in the first quarter amid flat volumes, which were unfavorably impacted by adverse weather conditions in many of our markets in the eastern United States. In our efforts to overcome the subdued pace of construction activity to start the year, we remained focused on cost reductions and realized a 140 basis point improvement in SG&A as a percent of sales to 8.6%, helped by ongoing efficiency initiatives. Our adjusted EBITDA was stable compared to a year ago as our improvement in sales was offset primarily by higher energy costs. As we move forward in 2014, we believe the longer term recovery in housing markets remains in place and we are well positioned to grow our business and leverage our low cost, efficient capacity as demand improves.”

First Quarter 2014 (Successor) Vs First Quarter 2013 (Predecessor)

Net sales for the first quarter of 2014 totaled $87.0 million, up 4.2%, compared to $83.5 million in the first quarter of 2013. The increase in sales was primarily driven by a 7.0% increase in the average mill net price² to $157.32 per MSF from $146.97 per MSF in the prior year quarter, partially offset by unfavorable foreign exchange rates. Wallboard volumes were impacted by adverse weather conditions and remained stable at 438 MMSF compared to the prior year quarter, with a 2.2% increase in U.S. volumes offset by lower volumes in Canada.

Comparison of Successor current period gross profit to prior year Predecessor gross profit was significantly impacted by purchase accounting from our acquisition by Lone Star. Gross profit was $13.8 million, down compared to $18.3 million in the prior year quarter, primarily as a result of $7.8 million in higher depreciation and amortization costs from the acquisition, as well as increased energy costs. This decrease was partially offset by savings from the Company’s continued focus on cost reduction and efficiencies.

Selling and administrative (SG&A) expense was $7.5 million in the first quarter of 2014, a decrease of 10.1% from $8.3 million in the prior year quarter, as a result of reduced overhead expenses. Services performed by Lafarge North America, which were allocated costs in the prior year, are now performed in-house or through a transition services agreement with Lafarge North America. In the current quarter, all of these costs were captured in direct SG&A.

Operating income was $6.3 million, down $3.7 million from $10.0 million in the prior year quarter, largely attributable to the impact of higher depreciation and amortization resulting from the Lone Star acquisition. Interest expense was $14.2 million, up $14.1 million from $0.1 million in the prior year, reflecting an increase in long-term debt and a non-recurring charge of $6.9 million related to the write-off of deferred financing fees and original issue discount as part of the extinguishment of debt. Net loss during the quarter was $8.6 million, or $0.22 per diluted share, compared to net income of $9.8 million in the prior year quarter. Our adjusted net loss for the first quarter of 2014, which excludes several charges incurred in connection with our recently completed initial public offering, was $691,000, or an adjusted loss per diluted share of $0.02.³

Adjusted EBITDA was $20.2 million, stable compared to the prior year quarter, as higher revenues were essentially offset by higher energy costs resulting from severe cold in the early part of the year.

On March 31, 2014, the Company had cash of $3.1 million and total debt outstanding of $423.3 million. In February 2014, the Company completed its initial public offering, raising net proceeds of $151.4 million, which was used, along with cash on hand, to reduce debt through the repayment of its second lien term loan of $155.0 million. This helped the Company achieve a lower leverage ratio at March 31, 2014, which based on the Company’s credit agreement, is expected to reduce the interest rate spread on the first lien credit agreement by 50 basis points starting later in the second quarter 2014. Maintaining this leverage ratio would represent approximately $2.1 million in cash interest savings on an annual basis.

Investor Conference Webcast and Conference Call:

The Company will host a webcast and conference call on Monday, May 12, 2014 at 5:00 p.m. Eastern time to review first quarter results and discuss recent events. The live webcast will be available on the Investor Relations section of the Company’s website at www.continental-bp.com. To participate in the call, please dial 877-407-3982 (domestic) or 201-493-6780 (international). A replay of the conference call will be available through June 12, 2014, by dialing 877-870-5176 (domestic) or 858-384-5517 (international) and entering the pass code 13580857.

About Continental Building Products

Continental Building Products is a leading North American manufacturer of gypsum wallboard, joint compound and complementary finishing products. The Company is headquartered in Herndon, Virginia with operations serving the residential, commercial and repair and remodel construction markets primarily in the eastern United States and eastern Canada. For additional information, visit www.continental-bp.com.

2

On August 30, 2013, an affiliate of the Company’s controlling stockholder acquired substantially all of the assets of the gypsum business that was part of Lafarge North America Inc. (Lafarge) for a purchase price of approximately $703 million. The financial statements presented for periods prior to August 30, 2013, or the Predecessor statements, are derived from Lafarge’s consolidated financial statements and accounting records of its gypsum division. Continental, which was formed on July 26, 2013, had no operating results prior to its acquisition of the Lafarge gypsum division. The financial statements after August 30, 2013, or the Successor statements, reflect the net assets acquired at fair value and also include additional indebtedness arising from the acquisition. As a result, the Successor statements and Predecessor statements are not readily comparable.

Forward-Looking Statements

This press release contains forward-looking statements. Forward-looking statements may be identified by the use of words such as “anticipate”, “believe”, “expect”, “estimate”, “plan”, “outlook”, and “project” and other similar expressions that predict or indicate future events or trends or that are not statements of historical matters. Forward-looking statements should not be read as a guarantee of future performance or results, and will not necessarily be accurate indications of the times at, or by, which such performance or results will be achieved. Forward-looking statements are based on historical information available at the time the statements are made and are based on management’s reasonable belief or expectations with respect to future events, and are subject to risks and uncertainties, many of which are beyond the Company’s control, that could cause actual performance or results to differ materially from the belief or expectations expressed in or suggested by the forward-looking statements. Forward-looking statements speak only as of the date on which they are made and the Company undertakes no obligation to update any forward-looking statement to reflect future events, developments or otherwise, except as may be required by applicable law. Investors are referred to the Company’s filings with the Securities and Exchange Commission, including its Annual Report on Form 10-K for fiscal year 2013 filed on March 27, 2014, for additional information regarding the risks and uncertainties that may cause actual results to differ materially from those expressed in any forward-looking statement.

Contact Information:

Investor Relations:

703 480-3980

Investorrelations@continental-bp.com

3

Continental Building Products, Inc.

Consolidated (Successor) / Combined (Predecessor) Statements of Operations

(dollars in thousands except per share data)

(Unaudited)

4

Continental Building Products, Inc.

Consolidated Balance Sheets

(dollars in thousands except share data)

5

Continental Building Products, Inc.

Consolidated (Successor) / Combined (Predecessor) Statements of Cash Flows

(dollars in thousands)

(Unaudited)

6

Reconciliation of GAAP Measures to Non-GAAP Measures

EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share have been presented in this press release as supplemental measures of financial performance that are not required by, or presented in accordance with, GAAP. We have presented EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share as supplemental performance measures because we believe that they facilitate a comparative assessment of our operating performance relative to our performance based on our results under GAAP while isolating the effects of some items that vary from period to period without any correlation to core operating performance and eliminate certain charges that we believe do not reflect our operations and underlying operational performance. Management also believes that EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share are useful to investors because they present a better reflection of our performance as an independent company following the acquisition and allows investors to view our business through the eyes of management and the Board of Directors, facilitating comparison of results across historical periods.

EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share may not be comparable to similarly titled measures of other companies because other companies may not calculate EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share in the same manner as we do. EBITDA, Adjusted EBITDA, and Adjusted Diluted Earnings (Loss) Per Share are not measurements of our financial performance under GAAP and should not be considered in isolation or as alternatives to operating income determined in accordance with GAAP or any other financial statement data presented as indicators of financial performance or liquidity, each as calculated and presented in accordance with GAAP.

7

The following is a reconciliation of operating income to EBITDA and adjusted EBITDA and of Diluted Earnings (Loss) Per Share to Adjusted Diluted Earnings (Loss) Per Share:

Continental Building Products, Inc.

Reconciliation of Non-GAAP Measure to GAAP Measure

(dollars in thousands, except per share amounts)

(Unaudited)

8

Interim Volumes and Mill Net Prices

(unaudited)

9