SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

Form 6-K

Report of Foreign Issuer

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

of May 2528, 2004

KLM ROYAL DUTCH AIRLINES

(translation of Registrant’s trade name into English)

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;	þ		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	þ

Table of contents

	Sequential page No.
Final Results Exchange Offer for KLM Common Shares by Air France		4
Signatures		3

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.

	KLM Royal Dutch Airlines
Date: May 25, 2004	By /s/ R.A. Ruijter
Date: May 28, 2004	By /s/ R.A. Ruijter
	Name: R.A. Ruijter
	Title: Managing Director & CFO
	By /s/ J.E.C. de Groot
	Name: J.E.C. de Groot
	Title: SVP & General Secretary

~~PERSBERICHT — PERSBERICHT — PERSBERICHT — PERSBERICHT — PERSBERICHT~~04/040 ~~COMMUNIQUE DE PRESSE — COMMUNIQUE DE PRESSE — COMMUNIQUE DE PRESSE~~ ~~PRESS RELEASE — PRESS RELEASE — PRESS RELEASE — PRESS RELEASE — PRESS RELEASE~~

~~04/039~~INTENDED APPOINTMENTS TO THE KLM SUPERVISORY BOARD

~~Final~~AMSTELVEEN, ~~Results~~May 28, ~~Exchange~~2004 ~~Offer~~— The Supervisory Board of KLM Royal Dutch Airlines ~~for~~N.V. intends to appoint five new members. Having successfully completed its share exchange transaction with Air France, KLM ~~Common~~will ~~Shares~~now byadjust the constitution of its Supervisory Board as agreed with Air France. The nine-member KLM Supervisory Board will henceforth consist of five Dutch members and four appointed by Air France.

~~Paris~~The KLM Supervisory Board intends to appoint Hans N.J. Smits as a new Dutch member. He will join the existing Dutch members Mrs. Asscher-Vonk and Messrs. Storm, ~~France~~Kok, and ~~Amstelveen~~Geersing. Air France has nominated Messrs. J.F. Henri Martre, Jean-Didier F.C. Blanchet, Henri Guillaume, and Remmert Laan. The current ~~Netherlands~~non-Dutch members Eustace, ~~May~~Wilson, and Van den Berghe will be stepping down. Messrs. 24Maljers and Van Lede will also be leaving the KLM Supervisory Board to join the Conseil d’Administration of Air France (later to be renamed Air France–KLM). In its new constitution, ~~2004~~the board will be chaired by Mr. Storm.

~~With~~Hans ~~reference~~Smits to(54) has ~~the~~extensive ~~offer~~experience ~~and~~in ~~listing~~the ~~documentation~~airline ~~made~~industry, ~~available on 5 April~~having ~~2004~~served ~~and~~as ~~further~~Director toGeneral ~~their earlier press release of 4 May 2004, Air France~~ and ~~KLM~~ ~~announce~~later ~~that~~Secretary ~~holders~~General of ~~KLM~~the ~~Common~~Dutch ~~Shares~~Ministry ~~had tendered a total~~ of ~~45,093,299~~Transport. ~~KLM~~He ~~Common~~was ~~Shares,~~also ~~representing~~President ~~approximately~~& ~~96.33%~~CEO of ~~all~~Amsterdam ~~KLM Common~~Airport ~~Shares,~~Schiphol infrom ~~the exchange offer for all outstanding KLM Common Shares (the~~1992 ~~“Offer”),~~through at1998. ~~the~~He ~~expiry~~later ofserved ~~the~~as ~~subsequent~~President ~~offering~~& ~~period~~CEO of ~~the~~Rabobank. ~~Offer on 21 May~~Mr. ~~2004~~Smits ~~(3:00 pm Amsterdam time and 9:00 am New York City time). During the~~is ~~subsequent~~currently ~~offering~~Director ~~period, holders~~ of ~~KLM~~Arthur ~~Common~~D. ~~Shares had tendered 3~~Little,~~412,427 KLM~~ ~~Common Shares, representing approximately 7~~Netherlands.~~3% of all KLM Common Shares.~~

~~Air~~Jean-Didier ~~France~~Blanchet ~~and~~(64) served ~~KLM~~Air ~~have~~France ~~requested~~for ~~that~~many ~~Euronext~~years, ~~Amsterdam~~rising ~~de-list~~to the ~~KLM~~post ~~Common Shares from Euronext Amsterdam. De-listing~~ of ~~the~~Chief ~~KLM~~Executive ~~Common Shares from Euronext Amsterdam is expected to take place shortly~~Officer. ~~Further~~He ~~announcements~~later ~~on the~~served ~~expected~~as ~~date~~CEO of ~~de-listing and~~ the ~~last~~Méridien ~~trading~~hotel ~~day on Euronext Amsterdam~~chain. ~~for~~He ~~KLM~~is, ~~Common~~among ~~Shares~~other ~~will~~things, ~~follow~~currently inChairman of the ~~coming~~French ~~days.~~organization ~~Air France and KLM~~Cercle ~~intend~~des toTransports, ~~request~~which ~~the~~protects ~~de-listing~~ the ~~KLM~~interests ~~New~~of ~~York~~transport ~~Registry Shares from the New York Stock Exchange as soon as reasonably practicable~~companies.

InHenri ~~exchange~~Guillaume ~~for~~(61) was ~~the~~previously ~~tendered~~Chairman ~~KLM~~of ~~Common Shares~~ANVAR, ~~Air France has issued~~ a ~~total~~French governmental oforganization 49actively ~~602~~involved ~~629~~in ~~new~~promoting ~~shares~~corporate ~~and 45~~innovation,~~093,299~~ ~~warrants~~research, ~~including 8,708,840 shares represented by American Depositary Shares (“ADSs”)~~ and ~~7,917,127 warrants~~ ~~represented by American Depositary Warrants (“ADWs”)~~development. ~~Including~~Until ~~the issuance of new shares in the Offer~~1999, ~~Air~~Mr. Guillaume ~~France’s~~was ~~capital~~Vice ~~comprises~~President ~~269,383,516~~of ~~shares~~ERAP, ~~which~~ ~~are held as follows: French State: 44,07%, Air France employees 10,42%,~~predecessor ~~public float 45,51%~~ of ~~which~~the ~~18,4%~~Elf ~~by former holders of KLM Common Shares~~concern.

~~The~~Remmert ~~Air~~Laan ~~France~~(62) has ~~shares~~worked ~~and~~for ~~warrants are listed on Euronext Paris, Euronext Amsterdam and~~ the ~~New~~French ~~York~~corporate ~~Stock~~bank ~~Exchange~~Lazard ~~(in~~Frères ~~the form of ADSs and ADWs). The~~since ~~Air~~1979, ~~France warrants~~ and ~~ADWs~~holds ~~have~~directorships aat ~~maturity~~various ofDutch, ~~three and a half years from May 6~~Belgian, ~~2004~~ and ~~can~~French ~~be exercised starting November 6, 2005~~companies.

~~Forward~~Henri Martre (76) was Chairman & CEO of Aérospatiale and stood at the cradle of the successful European multinational aircraft manufacturer Airbus. He was Vice-~~Looking~~Chairman ~~Statements~~of the Airbus Supervisory Board until 1992. Mr. Martre currently holds directorships at various companies in the airline industry.

The ~~information~~KLM ~~herein~~Supervisory ~~contains,~~Board ~~and~~attaches ~~Air~~great ~~France,~~importance ~~KLM~~to ~~and~~the ~~their~~expertise ~~representatives~~the ~~may~~above ~~make,~~nominees ~~forward-looking~~will ~~statements~~contribute ~~either orally or~~ in ~~writing, about Air France, KLM and~~ their ~~businesses~~respective fields. ~~These~~The ~~forward-looking~~Board ~~statements,~~intends ~~which include, but are not limited~~ to~~, statements concerning the financial condition,~~ ~~results~~appoint ofthese ~~operations~~new ~~and~~members ~~businesses~~following ~~of Air France and KLM and~~ the ~~benefits expected~~Annual toGeneral ~~result~~Shareholders’ ~~from~~Meeting ~~the contemplated transaction, are based~~ on ~~management’s~~ ~~current~~June 23, ~~expectations~~2004, ~~and~~in ~~estimates~~Amstelveen.

KLM Corporate Communications		Air France Financial Division
P.O. Box 7700		45, rue de Paris
1117 ZL Schiphol Airport, The Netherlands		95747 Roissy Cedex, France
Tel: +31 (0) 20 6494545 - Fax: +31 (0) 20 6488092		Tel: +33 (0)1 41 56 88 60 - Fax: +33 (0)1 41 56 68 49
Internet: www.klm.com		Internet: www.airfrance.com/corporate

Note to editors: A digital version of KLM’s Annual Report for 2003/04 and Sustainability Report for 2003/04, as well as the agenda for the Annual General Shareholders’ Meeting are available at http://investorrelations.klm.com.

~~PERSBERICHT~~Further —note ~~PERSBERICHT — PERSBERICHT — PERSBERICHT — PERSBERICHT~~to editors: You are welcome to attend the KLM Royal Dutch Airlines ~~COMMUNIQUE~~Annual DEGeneral ~~PRESSE — COMMUNIQUE~~Shareholders’ DEMeeting. ~~PRESSE — COMMUNIQUE~~The DEaudio-visual ~~PRESSE~~media will have an ~~PRESS~~opportunity ~~RELEASE~~to —record ~~PRESS~~the ~~RELEASE~~president’s —introductory ~~PRESS~~speech. ~~RELEASE~~Please —register ~~PRESS~~in advance ~~RELEASE~~with —KLM’s ~~PRESS~~Media ~~RELEASE~~Relations department by phoning +31 (0)20 649 4545 or by e-mailing mediarelations@klm.com before June 16, 2004.

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 expected synergies and cost savings will not be achieved; unanticipated expenditures; changing relationships with customers, suppliers and strategic partners; and other economic, business, competitive andAMS/~~or regulatory factors affecting the businesses of Air France and KLM~~DR/JCH ~~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.

KLM Corporate Communications		Air France Financial Division
P.O. Box 7700		45, rue de Paris
1117 ZL Schiphol Airport, The Netherlands		95747 Roissy Cedex, France
Tel: +31 (0) 20 6494545 - Fax: +31 (0) 20 6488092		Tel: +33 (0)1 41 56 88 60 - Fax: +33 (0)1 41 56 68 49
Internet: www.klm.com		Internet: www.airfrance.com/corporate

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