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 June, 2005

                              RYANAIR HOLDINGS PLC
                (Translation of registrant's name into English)

                     c/o Ryanair Ltd Corporate Head Office
                                 Dublin Airport
                             County Dublin Ireland
                    (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.....


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 ..... No ..X..


If "Yes" is marked, indicate below the file number assigned to the registrant 
in connection with Rule 12g3-2(b): 82- ________ 





                  RYANAIR PASSENGER GROWTH OF 34% FOR MAY 2005

The following are Ryanair's passenger and internet statistics for May 2005.



                                     May          May        Rolling 12 months
                                    2004         2005       ended 31st May 2005
                                                               
    Passengers 1                  2,170,381    2,904,939            28,842,791
    Load Factor 2                     81%         82%                   84%
    Internet Sales Percentage3        97%         98%                   97%


 1. Represents the number of earned seats flown by Ryanair. Earned seats include
    seats that are flown whether or not the passenger turns up because once a
    flight has departed a no-show customer is not entitled to change flights or
    seek a refund.

 2. Represents the number of passengers as a proportion of the number of seats
    available for passengers.

 3. Represents the number of initial seat sales sold via the Ryanair internet
    site as a percentage of total initial seat sales. Initial seat sales exclude
    changed and amended seat sales.

ENDS.                         Thursday, 2nd June 2005

For further information:

Peter Sherrard - Ryanair      Pauline McAlester - Murray Consultants
Tel: 00 353 1 812 1228        Tel: 00 353 1 4980 300




                                   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, hereunto duly authorized.

                                    RYANAIR HOLDINGS PLC

 
Date:  02 June 2005

                                    By:___/s/ Howard Millar____

                                    H Millar
                                    Company Secretary & Finance Director