Exhibit 99.5

Individual

Tenants in Common

Uniform Transfers to Minors Act (for reporting SSN, use minor’s)

FOR TRUSTEE/BROKER USE ONLY:

Joint Tenants

Corporation

Partnership

Trust – Under Agreement Dated

Other

IRA (SSN of Beneficial Owner)             -            -

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STOCK ORDER FORM – SIDE 2

BLUE HILLS BANCORP, INC.

STOCK INFORMATION CENTER: (        )        -            

STOCK ORDER FORM INSTRUCTIONS – SIDE 1

Sections (1) and (2) – Number of Shares and Total Payment Due. Indicate the Number of Shares that you wish to subscribe for and the Total Payment Due. Calculate the Total Payment Due by multiplying the Number of Shares by the $10.00 price per share. The minimum purchase is 25 shares ($250). The maximum allowable purchase by a person or entity (or individuals exercising subscription rights through a single qualifying deposit account held jointly) is              shares ($                ). Further, no person or entity, together with any associate or group of persons acting in concert, may purchase more than              shares ($                ) in all categories of the offering combined. Please see the Prospectus section entitled “The Conversion; Plan of Distribution – Limitations on Common Stock Purchases” for more specific information. By signing this form, you are certifying that your order does not conflict with these purchase limitations.

Section (3) – Method of Payment – Check or Money Order. Payment may be made by including with this form a personal check, bank check or money order made payable directly to Blue Hills Bancorp, Inc. These will be deposited upon receipt. The funds remitted by personal check must be available within the account(s) when your Stock Order Form is received. Indicate the amount remitted. Interest will be calculated at Blue Hills Bank’s passbook savings rate from the date payment is received until the offering is completed, at which time a subscriber will be issued a check for interest earned. Please do not remit cash, a Blue Hills Bank line of credit check, wire transfers or third party checks for this purchase.

Section (4) – Method of Payment – Deposit Account Withdrawal. Payment may be made by authorizing a direct withdrawal from your Blue Hills Bank deposit account(s). Indicate the account number(s) and the amount(s) you wish withdrawn. Attach a separate page, if necessary. Funds designated for withdrawal must be available within the account(s) at the time this Stock Order Form is received. Upon receipt of this order, we will place a hold on the amount(s) designated by you – the funds will be unavailable to you for withdrawal thereafter. The funds will continue to earn interest within the account(s) at the applicable contractual deposit account rate. The interest will remain in the accounts when the designated withdrawal is made, at the completion of the offering. There will be no early withdrawal penalty for withdrawal from a Blue Hills Bank certificate of deposit (CD) account. Note that you may NOT designate accounts with check-writing privileges. Please submit a check instead. If you request direct withdrawal from such accounts, we reserve the right to interpret that as your authorization to treat those funds as if we had received a check for the designated amount, and we will immediately withdraw the amount from your checking account(s). Additionally, you may not designate direct withdrawal from Blue Hills Bank IRA or other retirement accounts. For guidance on using retirement funds, whether held at Blue Hills Bank or elsewhere, please contact the Stock Information Center as soon as possible – preferably at least two weeks before the offering deadline. See the Prospectus section entitled “The Conversion; Plan of Distribution – Procedure for Purchasing Shares .” Your ability to use retirement account funds to purchase shares cannot be guaranteed and depends on various factors, including timing constraints and the institution where those funds are currently held.

Section (5) – Purchaser Information. Please check the first box that applies to the purchaser(s) listed in Section 9 of this form. Purchase priorities in the Subscription Offering are based on eligibility dates. Box (a) refers to the Subscription Offering. If you checked box (a) list all Blue Hills Bank account numbers that the purchaser(s) had ownership in as of February 28, 2013. Include all forms of account ownership (e.g. individual, joint, IRA, etc.). If purchasing shares for a minor, list only the minor’s eligible accounts. If purchasing shares for a corporation or partnership, list only that entity’s eligible accounts. Attach a separate page, if necessary. Failure to complete this section, or providing incorrect or incomplete information, could result in a loss of part or all of your share allocation in the event of an oversubscription. Boxes (c) and (d) refer to the Community Offering. Orders placed in the Subscription Offering will take priority over orders placed in the Community Offering. See the Prospectus section entitled “The Conversion; Plan of Distribution—Subscription Offering and Subscription Rights” for further details about the Subscription and Community Offerings.

Section (6) – Management. Check the box if you are a Hyde Park Bancorp, MHC, Hyde Park Bancorp, Inc., Blue Hills Bank or Blue Hills Bancorp, Inc. director, trustee, officer or employee, or a member of their immediate family. Immediate family includes spouse, parents, siblings and children who live in the same house as the director, trustee, officer or employee.

Section (7) – Maximum Purchaser Identification. Check the box, if applicable. Failure to check the box will result in you not receiving notification in the event the maximum purchase limit(s) is/are increased. If you checked the box but have not subscribed for the maximum amount in the Subscription Offering, you will not receive this notification.

Section (8) – Associates/Acting in Concert. Check the box, if applicable, and provide the requested information. Attach a separate page if necessary.

Section (9) – Stock Registration. Clearly PRINT the name(s) in which you want the shares registered and the mailing address for all correspondence related to your order. IMPORTANT: Subscription rights are non-transferable. If placing an order in the Subscription Offering, you may not add the names of persons/entities who do not have subscription rights or who qualify only in a lower purchase priority than yours. A Social Security or Tax ID Number must be provided. The first number listed will be identified with the stock certificate for tax reporting purposes. Listing at least one phone number is important in the event we need to contact you about this form. NOTE FOR FINRA MEMBERS: If you are a member of the Financial Industry Regulatory Authority (“FINRA”), a person affiliated or associated with a FINRA member, you may have additional reporting requirements. Please report this subscription in writing to the applicable department of the FINRA member firm within one day of payment thereof.

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BLUE HILLS BANCORP, INC.

STOCK INFORMATION CENTER: (        )         -            

STOCK ORDER FORM INSTRUCTIONS – SIDE 2

Form of Stock Ownership. For reasons of clarity and standardization, the stock transfer industry has developed uniform stockholder registrations for issuance of stock. Beneficiaries may not be named on stock registrations. If you have any questions on wills, estates, beneficiaries, etc., please consult your legal advisor. When registering stock, do not use two initials – use the full first name, middle initial and last name. Omit words that do not affect ownership such as “Dr.” or “Mrs.” Check the one box that applies.

Buying Stock Individually – Used when shares are registered in the name of only one owner. To qualify in the Subscription Offering, the individual named in Section 9 of the Stock Order Form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

Buying Stock Jointly – To qualify in the first priority of the Subscription Offering, the persons named in Section 9 of the Stock Order Form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

Joint Tenants – Joint Tenancy (with Right of Survivorship) may be specified to identify two or more owners where ownership is intended to pass automatically to the surviving tenant(s). All owners must agree to the sale of shares.

Tenants in Common – May be specified to identify two or more owners where, upon the death of one co-tenant, ownership of the stock will be held by the surviving co-tenant(s) and by the heirs of the deceased co-tenant. All owners must agree to the sale of shares.

Buying Stock for a Minor – Shares may be held in the name of a custodian for a minor under the Uniform Transfer to Minors Act. To qualify in the first priority of the Subscription Offering, the minor (not the custodian) named in Section 9 of the Stock Order Form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

The standard abbreviation for custodian is “CUST.” The Uniform Transfer to Minors Act is “UTMA.” Include the state abbreviation. For example, stock held by John Smith as custodian for Susan Smith under the MA Uniform Transfer to Minors Act, should be registered as John Smith CUST Susan Smith UTMA-MA (list only the minor’s social security number).

Buying Stock for a Corporation/Partnership – On the first name line, indicate the name of the corporation or partnership and indicate the entity’s Tax ID Number for reporting purposes. To qualify in the first priority of the Subscription Offering, the corporation or partnership named in Section 9 of the Stock Order Form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

Buying Stock in a Trust/Fiduciary Capacity – Indicate the name of the fiduciary and the capacity under which the fiduciary is acting (for example, “Executor”), or name of the trust, the trustees and the date of the trust. Indicate the Tax ID Number to be used for reporting purposes. To qualify in the first priority of the Subscription Offering, the entity named in Section 9 of the Stock Order Form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

Buying Stock in a Self-Directed IRA (for trustee/broker use only) – Registration should reflect the custodian or trustee firm’s registration requirements. For example, on the first name line, indicate the name of the brokerage firm, followed by CUST or TRUSTEE. On the second name line, indicate the name of the beneficial owner (for example, “FBO John SMITH IRA”). You can indicate an account number or other underlying information and the custodian or trustee firm’s address and department to which all correspondence should be mailed related to this order, including a stock certificate. Indicate the TAX ID Number under which the IRA account should be reported for tax purposes. To qualify in the first priority in the Subscription Offering, the beneficial owner named in Section 9 of this form must have had an eligible deposit account at Blue Hills Bank or Nantucket Bank, a division of Blue Hills Bank, as of the close of business on February 28, 2013.

Section (10) – Acknowledgment and Signature(s). Sign and date the Stock Order Form where indicated. Before you sign, please carefully review the information you provided and read the acknowledgment. Verify that you have printed clearly and completed all applicable shaded areas on the Stock Order Form. Only one signature is required, unless any account listed in Section 4 requires more than one signature to authorize a withdrawal.

Please review the Prospectus carefully before making an investment decision. Deliver your completed Stock Order Form, with full payment or deposit account withdrawal authorization, so that it is received (not postmarked) on or after                     , but no later than                     , Eastern time, on                         , 2014. Stock Order Forms can be delivered by using the enclosed postage paid Stock Order Reply Envelope, by overnight delivery to the Stock Information Center address on the front of the Stock Order Form, or by hand-delivery to our Stock Information Center, located at                         , MA. Please do not mail Stock Order Forms to Blue Hills Bank. We are not required to accept Stock Order Forms that are found to be deficient or incorrect, or that do not include proper payment or the required signature. Faxes or copies of this form are not required to be accepted.

OVERNIGHT DELIVERY can be made to the Stock Information Center address provided on the front of the Stock Order Form.

QUESTIONS? Call our Stock Information Center, toll-free, at                         , from 10:00 a.m. to 4:00 p.m., Eastern time, Monday through Friday. The Stock Information Center is not open on weekends or bank holidays.

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