SECURITIES AND EXCHANGE COMMISSION

Form 6-K

Report of Foreign Issuer

Pursuant to Rule 13a-16 or 15d-16 of
the Securities Exchange Act of 1934

of April 20, 2004

KLM ROYAL DUTCH AIRLINES

Amsterdamseweg 55, 1182 GP Amstelveen, The Netherlands
(Address of principal executive offices)

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

Form 20-F x                 Form 40-F o

(Indicate by check mark whether the registrant by furnishing the information contained in this Form is also thereby furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.)

Yes o                 No x

Table of Contents

Legal Information

The combination of KLM and Air France will be implemented through an exchange offer made by Air France to all shareholders of KLM. This document is neither an offer to purchase nor a solicitation of an offer to sell shares of KLM. In connection with the exchange offer, Air France has filed with the U.S. Securities and Exchange Commission (the “SEC”) a registration statement on Form F-4 which includes a prospectus relating to the offer, and a tender offer statement on Schedule TO, and KLM has filed with the SEC a solicitation/recommendation statement on Schedule 14D-9. KLM shareholders who are U.S. persons or are located in the United States are urged to carefully review the registration statement on Form F-4 and the prospectus included therein, the Schedule TO and other documents relating to the offer that have been filed by Air France with the SEC because these documents contain important information relating to the offer. You are also urged to read the Schedule 14D-9 that has been filed with the SEC by KLM regarding the offer. You may obtain a free copy of these documents and other documents filed by Air France and KLM with the SEC at the SEC’s web site at www.sec.gov. You may also inspect and copy the registration statement on Form F-4, as well as any documents incorporated by reference therein, the Schedule TO and the Schedule 14D-9 at the public reference room maintained by the SEC at 450 Fifth Street, NW, Washington, D.C. 20549. Please call the SEC at 1-800-SEC-0330 for further information about the public reference room. U.S. shareholders may obtain these documents free of charge by contacting our information agent, Georgeson Shareholder Communications Inc., at 1-212-440-9800 or toll free at 1-866-297-1410. YOU SHOULD READ THE PROSPECTUS AND THE SCHEDULE 14D-9 CAREFULLY BEFORE MAKING A DECISION CONCERNING THE OFFER.

Forward-Looking Statements

The information herein contains, and Air France, KLM and their representatives may make, forward-looking statements either orally or in writing, about Air France, KLM and their businesses. These forward-looking statements, which include, but are not limited to, statements concerning the financial condition, results of operations and businesses of Air France and KLM and the benefits expected to result from the contemplated transaction, are based on management’s current expectations and estimates.

These forward-looking statements involve known and unknown risks, uncertainties and other factors, many of which are outside of Air France or KLM’s control and are difficult to predict, that may cause actual results to differ materially from any future results expressed or implied from the forward-looking statements. These statements are not guarantees of future performance and involve risks and uncertainties including, among others: the risk that the conditions relating to the required minimum tender of shares might not be satisfied; failure by Air France and KLM shareholders to approve the planned corporate reorganizations; inability to obtain, or meet the conditions imposed for, regulatory approvals in a timely manner or at all; the risk that the businesses of Air France and KLM will not be integrated successfully and the the expected synergies and cost savings will not be achieved; unanticipated expenditures; changing relationships with customers, suppliers and strategic partners; and other economic, business, competitive and/or regulatory factors affecting the businesses of Air France and KLM generally. Air France and KLM caution that the foregoing list of important factors is not exhaustive. Additional information regarding the factors and events that could cause differences between forward-looking statements and actual results in the future is contained in KLM’s Securities and Exchange Commission filings, including KLM’s Annual Report on Form 20-F. Air France and KLM undertake no obligation to update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.

Incorporation by Reference

     This Report on Form 6-K shall be deemed to be incorporated by reference into the prospectus included in the Registration Statement on Form F-4 (No. 333-114188) of Air France filed with the U.S. Securities and Exchange Commission on April 5, 2004, and shall be part thereof from the date on which this Report is filed, to the extent not superseded by documents or reports subsequently filed or furnished.

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.

04/026

KLM STATEMENT

AMSTELVEEN, April 18, 2004 — The Board of Managing Directors of KLM Royal Dutch Airlines has decided not to accept the special synergy bonus as proposed by Air France.

The KLM Supervisory Board supports this decision.

AMS/DR/JCH