UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

Report of Foreign Private Issuer

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

the Securities Exchange Act of 1934

For the month of November, 2019

Commission File Number: 001-36619

Affimed N.V.

Im Neuenheimer Feld 582,

69120 Heidelberg,

Germany

(Address of principal executive offices)

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  ☐

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(1):  ☐

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101(b)(7):  ☐

Affimed N.V. (“Affimed” or the “Company”) today issued three press releases. Copies of each of the Company’s press releases are filed as Exhibit 99.1, Exhibit 99.2 and Exhibit 99.3 to this Report on Form 6-K, and are incorporated herein by reference.

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, in Heidelberg, Germany,

November 7, 2019.

EXHIBIT INDEX

Exhibit 99.1

DRAFT

PRIVILEGED AND CONFIDENTIAL

FOR IMMEDIATE RELEASE

Affimed Announces Proposed Public Offering of Common Shares

Heidelberg, Germany, November 7, 2019 – Affimed N.V. (“Affimed” or the “Company”) (Nasdaq: AFMD), a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer, today announced that it has commenced an underwritten public offering of its common shares. The Company expects to grant the underwriters a 30-day option to purchase up to an additional 15 percent of the number of common shares sold in connection with the offering. All of the shares in the offering will be sold by Affimed. This offering is subject to market conditions and there can be no assurance as to whether or when the offering may be completed, or as to the actual size or terms of the offering.

Jefferies LLC and SVB Leerink LLC are acting as joint book-running managers of the offering. A shelf registration statement relating to these securities filed with the Securities and Exchange Commission (the “SEC”) was declared effective by the SEC on November 7, 2018. The offering will be made only by means of a prospectus and prospectus supplement. A preliminary prospectus supplement and accompanying prospectus related to the offering have been filed with the SEC and are available at the SEC’s website located at www.sec.gov. Copies of the preliminary prospectus supplement and accompanying prospectus related to the offering may be obtained by contacting Jefferies LLC, Attention: Equity Syndicate Prospectus Department, 520 Madison Avenue, 2nd Floor, New York, NY 10022, or by telephone at (877) 821-7388 or by email at Prospectus_Department@Jefferies.com, or SVB Leerink LLC, Attention: Syndicate Department, One Federal Street, 37th Floor, Boston, MA 02110, by telephone at (800) 808-7525, ext. 6132, or by email at syndicate@svbleerink.com.

This press release shall not constitute an offer to sell or a solicitation of an offer to buy, nor shall there be any sale of, these securities in any state or jurisdiction in which such offer, solicitation or sale would be unlawful prior to registration or qualification under the securities laws of any such state or jurisdiction.

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About Affimed N.V.

Affimed (Nasdaq: AFMD) is a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer. Affimed’s fit-for-purpose ROCK^® platform allows innate cell engagers to be designed for specific patient populations. The Company is developing single and combination therapies to treat hematologic and solid tumors.

Forward-looking Statements

This press release contains forward-looking statements. All statements other than statements of historical fact are forward-looking statements, which are often indicated by terms such as “anticipate,” “believe,” “could,” “estimate,” “expect,” “goal,” “intend,” “look forward to,” “may,” “plan,” “potential,” “predict,” “project,” “should,” “will,” “would” and similar expressions. Forward-looking statements appear in a number of places throughout this release and include statements regarding our intentions, beliefs, projections, outlook, analyses and current expectations concerning, among other things, the value of our ROCK^® platform, our ongoing and planned preclinical development and clinical trials, our collaborations and development of our products in combination with other therapies, the timing of and our ability to make regulatory filings and obtain and maintain regulatory approvals for our product candidates our intellectual property position, our collaboration activities, our ability to develop commercial functions, expectations regarding clinical trial data, our results of operations, cash needs, financial condition, liquidity, prospects, future transactions, growth and strategies, the industry in which we operate, the trends that may affect the industry or us and the risks uncertainties and other factors described under the heading “Risk Factors” in Affimed’s filings with the SEC. Given these risks, uncertainties and other factors, you should not place undue reliance on these forward-looking statements, and we assume no obligation to update these forward-looking statements, even if new information becomes available in the future.

Affimed Investor and Media Contact:

Gregory Gin, Head of Investor Relations

E-Mail: IR@affimed.com

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Exhibit 99.2

Affimed Highlights Progress on NK Cell Engager Collaboration with Genentech

Heidelberg, Germany, November 7, 2019 - Affimed N.V. (Nasdaq: AFMD), a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer, today announced that Genentech, a member of the Roche Group, has exercised its final option for an exclusive target under the companies’ collaboration agreement to develop and commercialize novel NK cell engager-based immunotherapeutics generated from Affimed’s ROCK^® platform to treat multiple cancers. The target selection triggers a milestone payment, in an undisclosed amount, to Affimed from Genentech.

“The designation of the final target marks another milestone for the collaboration, which brings together Genentech’s deep understanding of cancer immunology with Affimed’s expertise in drug discovery and development of innate cell engagers,” said Dr. Adi Hoess, Chief Executive Officer of Affimed. “We look forward to achieving further progress toward generating novel therapies that leverage the full potential of the innate immune system to help people living with cancer.”

About the Strategic Collaboration Agreement with Genentech

Affimed’s strategic, multi-target collaboration with Genentech was announced in August 2018. Under this agreement, Affimed applies its fit-for-purpose Redirected Optimized Cell Killing (ROCK^®) platform and engineering expertise to discover and advance NK cell engager-based immunotherapeutics against certain targets selected by Genentech. Affimed and Genentech collaborate on the discovery, early research and late-stage research phases. Genentech is responsible for clinical development and commercialization worldwide. Affimed received $96 million in upfront and committed funding from Genentech in the fourth quarter of 2018 and may be eligible to receive up to an additional $5 billion in development, regulatory and commercial milestone payments, plus royalties on sales of any developed products.

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About Affimed N.V.

Affimed (Nasdaq: AFMD) is a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer. Affimed’s fit-for-purpose ROCK^® platform allows innate cell engagers to be designed for specific patient populations. The Company is developing single and combination therapies to treat hematologic and solid tumors. For more information, please visit www.affimed.com.

FORWARD-LOOKING STATEMENTS

This press release contains forward-looking statements. All statements other than statements of historical fact are forward-looking statements, which are often indicated by terms such as “anticipate,” “believe,” “could,” “estimate,” “expect,” “goal,” “intend,” “look forward to”, “may,” “plan,” “potential,” “predict,” “project,” “should,” “will,” “would” and similar expressions. Forward-looking statements appear in a number of places throughout this release and include statements regarding our intentions, beliefs, projections, outlook, analyses and current expectations concerning, among other things, the value of our ROCK^® platform, our ongoing and planned preclinical development and clinical trials, our collaborations and development of our products in combination with other therapies, the timing of and our ability to make regulatory filings and obtain and maintain regulatory approvals for our product candidates our intellectual property position, our collaboration activities, our ability to develop commercial functions, expectations regarding clinical trial data, our results of operations, cash needs, financial condition, liquidity, prospects, future transactions, growth and strategies, the industry in which we operate, the trends that may affect the industry or us and the risks uncertainties and other factors described under the heading “Risk Factors” in Affimed’s filings with the Securities and Exchange Commission. Given these risks, uncertainties and other factors, you should not place undue reliance on these forward-looking statements, and we assume no obligation to update these forward-looking statements, even if new information becomes available in the future.

Affimed Investor and Media Contact:

Gregory Gin, Head of Investor Relations

E-Mail: IR@affimed.com

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Exhibit 99.3

Affimed Announces FDA Clearance of IND to Commence First-in-

Human Phase 1/2a Study of AFM24 for the Treatment of EGFR-

Expressing Cancers

Heidelberg, Germany, November 7, 2019 - Affimed N.V. (Nasdaq: AFMD), a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer, today announced that its Investigational New Drug application (IND) has cleared the required 30-day review by the U.S. Food and Drug Administration (FDA) and is in effect for a Phase 1/2a clinical trial of AFM24, a tetravalent, bispecific epidermal growth factor receptor (EGFR)- and CD16A-binding innate cell engager, in patients with advanced cancers known to express EGFR.

“The IND clearance of AFM24 enables us to proceed with our planned Phase 1/2a study aimed at establishing safety and identifying initial signals of efficacy in patients with EGFR-expressing solid tumors,” said Dr. Adi Hoess, Chief Executive Officer of Affimed. “There is a tremendous need for novel immuno-oncology approaches and based on its novel mechanism of activating the innate immune system, AFM24 has the potential to address limitations, such as toxicities or resistance, associated with other EGFR-targeted therapies.”

The initial goal of the planned Phase 1/2a study is to determine the maximum tolerated dose and recommended Phase 2 dose of AFM24, as well as to evaluate the safety, pharmacokinetics, pharmacodynamics, and preliminary efficacy. The second part of the study is designed to evaluate the preliminary efficacy of AFM24 in patients with select solid tumor subtypes. The study is planned to initiate in the first half of 2020.

AFM24 has the potential to provide a meaningful benefit to a broad set of patients suffering from EGFR-expressing tumors, including those patients who currently are not being addressed by existing EGFR-targeted therapies. According to internal market research, leading clinical experts across multiple cancer indications see a tremendous need for novel immuno-oncology approaches

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for the treatment of solid tumors. Preclinical data showed AFM24’s ability to bridge NK cells and macrophages to EGFR-expressing tumor cell lines and induce cell lysis through antibody-dependent cellular cytotoxicity (ADCC), independent of RAS mutational status, and antibody-dependent cellular phagocytosis (ADCP). In addition, AFM24 enhanced tumor infiltration of NK cells and elicited dose-dependent anti-tumor efficacy in vivo tumor models. Treatment of cynomolgus monkeys with AFM24 showed a favorable safety profile, even when the animals were treated at high dose levels, demonstrating AFM24’s potential to have lower toxicities in humans compared to other EGFR-targeted therapeutics.

About AFM24

AFM24, a tetravalent, bispecific EGFR- and CD16A-binding innate cell engager from Affimed’s fit-for-purpose ROCK^® platform, is designed to address limitations associated with other EGFR-targeted therapies, such as toxicities or resistance, by using a new mechanism of action to target EGFR-expressing solid tumors through activation of innate immunity rather than inhibition of EGFR-mediated signal transduction.

About Affimed N.V.

Affimed (Nasdaq: AFMD) is a clinical stage biopharmaceutical company committed to giving patients back their innate ability to fight cancer. Affimed’s fit-for-purpose ROCK^® platform allows innate cell engagers to be designed for specific patient populations. The Company is developing single and combination therapies to treat hematologic and solid tumors. For more information, please visit www.affimed.com.

FORWARD-LOOKING STATEMENTS

This press release contains forward-looking statements. All statements other than statements of historical fact are forward-looking statements, which are often indicated by terms such as “anticipate,” “believe,” “could,” “estimate,” “expect,” “goal,” “intend,” “look forward to”, “may,” “plan,” “potential,” “predict,” “project,” “should,” “will,” “would” and similar expressions. Forward-looking statements appear in a number of places throughout this release and include statements regarding our intentions, beliefs, projections, outlook, analyses and current expectations concerning, among other things, the value of our ROCK^® platform, our ongoing and planned preclinical development and clinical trials, our collaborations and development of our products in combination with other therapies, the timing of and our ability to make regulatory filings and obtain and maintain regulatory approvals for our product candidates our intellectual property position, our collaboration activities, our ability to develop commercial functions, expectations regarding clinical trial data, our results of operations, cash needs, financial condition, liquidity, prospects, future transactions, growth and strategies, the industry in which we operate, the trends that may affect the industry or us and the risks uncertainties and other factors

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described under the heading “Risk Factors” in Affimed’s filings with the Securities and Exchange Commission. Given these risks, uncertainties and other factors, you should not place undue reliance on these forward-looking statements, and we assume no obligation to update these forward-looking statements, even if new information becomes available in the future.

Affimed Investor and Media Contact:

Gregory Gin, Head of Investor Relations

E-Mail: IR@affimed.com

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