Exhibit 32.1

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report on Form 10-Q of Cimpress plc (the “Company”) for the quarter ended December 31, 2022 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned, Robert S. Keane, Chief Executive Officer, and Sean E. Quinn, Chief Financial Officer, of the Company, each hereby certifies, pursuant to 18 U.S.C. Section 1350, that, to his knowledge on the date hereof:

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

b.The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: January 26, 2023

/s/ Robert S. Keane

Robert S. Keane

Chief Executive Officer

Date: January 26, 2023

/s/ Sean E. Quinn

Sean E. Quinn

Chief Financial Officer