EXHIBIT 32.0

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADDED BY

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of United Financial Bancorp, Inc. (the “Company”) on Form 10-K for the year ended December 31, 2018, as filed with the Securities and Exchange Commission (the “Report”), I hereby certify pursuant to 18 U.S.C. Section 1350, as added by Section 906 of the Sarbanes-Oxley Act of 2002, that:

1.The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2.The information contained in this Report fairly presents, in all material respects, the consolidated financial condition and results of the Company as of and for the period covered by this Report.

By:	/s/    William H.W. Crawford, IV
	William H.W. Crawford, IV
	Chief Executive Officer and President
	February 28, 2019
By:	/s/    Eric R. Newell
	Eric R. Newell
	EVP, Chief Financial Officer and Treasurer
	February 28, 2019

The forgoing certification is being furnished solely pursuant to 12 U.S.C. Section 1350 and is not being filed as part of the Report or as a separate disclosure document.

Note: A signed original of this written statement required by Section 906 of the Sarbanes-Oxley Act of 2002 has been provided to United Financial Bancorp, Inc. and will be retained by United Financial Bancorp, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.