Exhibit 23.1

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Consent of Independent Registered Public Accounting Firm

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We consent to the incorporation by reference in the registration statements (No.333-284168) on Form S-3 and (No. 333-197887, No. 333-218005, No. 333-222051, No. 333-225629, No. 333-258036, No. 333-270039, No. 333-275944, No. 333-277439 and No. 333-281165) on Form S-8 of our report dated February 27, 2025, with respect to the consolidated financial statements of uniQure N.V. and the effectiveness of internal control over financial reporting.

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/s/ KPMG Accountants N.V.

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Amstelveen, the Netherlands

February 27, 2025