EXHIBIT 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in Registration Statement No. 333-71044, 333-145116, 333-113426, 333-169015, and Post-Effective Amendment No. 1 to 333-113426 on Form S-8 of our report dated June 15, 2020, relating to the financial statements of Graham Corporation in this Annual Report on Form 10-K for the year ended March 31, 2020.