UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

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FORM 6-K

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Report of Foreign Private Issuer

Pursuant to Rule 13a-16 or 15d-16

of the Securities Exchange Act of 1934

For the month of May 2026

Commission File Number: 001-38283

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InflaRx N.V.

(Translation of registrant’s name into English)

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Winzerlaer Str. 2

07745 Jena, Germany

(Address of Principal Executive Offices)

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Indicate by check mark whether the registrant files or will file annual reports under cover of Form 20-F or Form 40-F.

Form 20-F ☒ Form 40-F ☐

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INFLARX N.V.

On May 6, 2026, InflaRx N.V. (the “Company”) entered into an Underwriting Agreement with Guggenheim Securities, LLC, as representative of the several underwriters (the “Underwriters”) named in Schedule 1 therein, relating to the underwritten offering (the “Offering”) of an aggregate of 75,000,000 ordinary shares, nominal value €0.12 per share (the “Ordinary Shares”), of the Company. The Offering closed on May 7, 2026.

The offering price for the Ordinary Shares was $2.00 per share.

The gross proceeds from the Offering were approximately $150 million, before deducting the underwriting discount and estimated offering expenses.

The Offering was made pursuant to the Company’s effective shelf registration statement on Form F-3 (File No. 333-273058), which was previously filed with the U.S. Securities and Exchange Commission, and a prospectus supplement, dated May 6, 2026, and the accompanying prospectus, dated July 11, 2023.

The Underwriting Agreement contains customary representations, warranties and agreements by the Company. Additionally, the Company has agreed to indemnify the Underwriters against certain liabilities, including liabilities under the Securities Act of 1933, as amended, or to contribute to payments the Underwriters may be required to make because of any of those liabilities.

The foregoing description of the Underwriting Agreement is qualified in its entirety by reference to the complete text of the Underwriting Agreement, a copy of which is filed herewith as Exhibit 1.1 and is incorporated herein by reference.

A copy of the opinion of NautaDutilh N.V. relating to the legality of the issuance and sale of the Ordinary Shares is attached as Exhibit 5.1.

INCORPORATION BY REFERENCE

This report on Form 6-K, including Exhibits 1.1and 5.1, shall be deemed to be incorporated by reference into (i) the Company’s registration statements on Form S-8 (File No. 333-221656 and 333-240185) and (ii) the Company’s registration statement on Form F-3 (File No. 333-273058) and to be a part thereof from the date on which this report is filed, to the extent not superseded by documents or reports subsequently filed or furnished.

EXHIBIT INDEX

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

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