Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in the Registration Statements on Form S-8 (Nos. 333-239084, 333-205858, 333-136101 and 333-120229) of MarketAxess Holdings Inc. of our report dated February 23, 2022, relating to the financial statements and the effectiveness of internal control over financial reporting, which appears in this Form 10-K.