Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

To the 401(k) Administrative Committee

and the Administrator of the Jack Henry &

Associates, Inc. 401(k) Retirement Savings Plan:

We consent to the incorporation by reference in the Registration Statement (No. 333-63912) on Form S-8 of Jack Henry & Associates, Inc. of our report dated June 26, 2020, with respect to the statements of net assets available for benefits of the Jack Henry & Associates, Inc. 401(k) Retirement Savings Plan as of December 31, 2019 and 2018, and the related statement of changes in net assets available for benefits for the year ended December 31, 2019, and the related supplemental schedule of Schedule H, line 4i – Schedule of Assets (Held at End of Year) as of December 31, 2019, which report appears in the December 31, 2019 annual report on Form 11-K of the Jack Henry & Associates, Inc. 401(k) Retirement Savings Plan.

/s/ Baker Tilly Virchow Krause, LLP

Plano, TX

June 26, 2020