EXHIBIT 5

LUSE GORMAN, PC

ATTORNEYS AT LAW

5335 WISCONSIN AVENUE, N.W., SUITE 780

WASHINGTON, D.C. 20015

TELEPHONE (202) 274-2000

FACSIMILE (202) 362-2902

www.luselaw.com

March 9, 2020

Board of Directors

Territorial Bancorp Inc.

1132 Bishop Street

Suite 2200

Honolulu, Hawaii 96813

Re: Territorial Bancorp Inc.  – Registration Statement on Form S-8

Members of the Board of Directors:

You have requested the opinion of this firm as to certain matters in connection with the registration of 150,000 shares of common stock, par value $0.01 per share (the “Shares”), of Territorial Bancorp Inc. (the “Company”) to be issued pursuant to the Territorial Bancorp Inc. 2019 Equity Incentive Plan (the “Equity Plan”).

In rendering the opinion expressed herein, we have examined originals or copies, certified or otherwise identified to our satisfaction of the following: (i) the Company’s Registration Statement on Form S-8 (the “Form S-8”) to be filed with the Securities Exchange Commission (the “Commission”) under the Securities Act, on the date hereof; (ii) the Articles of Incorporation of the Company, as currently in effect; (iii) the Bylaws of the Company, as currently in effect; (iv) the Equity Plan; (iv) certain resolutions of the board of directors of the Company relating to the approval of the Equity Plan, the filing of the Registration Statement and certain related matters; and (v) applicable statutes and regulations governing the Company.  We have assumed the authenticity, accuracy and completeness of all documents in connection with the opinion expressed herein.  We have also assumed the legal capacity and genuineness of the signatures of persons signing all documents in connection with which the opinion expressed herein are rendered.

Based on the foregoing, we are of the following opinion:

Following the effectiveness of the Form S-8, the Shares, when issued in accordance with the terms and conditions of the Equity Plan, will be legally issued, fully paid and non-assessable.

This opinion has been prepared solely for the use of the Company in connection with the preparation and filing of the Form S-8, and should not be used for any other purpose or relied upon by any other person without the prior written consent of this firm.

We hereby consent to the use of this opinion in the Form S-8.  In giving such consent, we do not thereby admit that we are within the category of persons whose consent is required under Section 7 of the Securities Act or the rules and regulations of the Commission thereunder.

Very truly yours,

/s/ Luse Gorman, PC

LUSE GORMAN, PC