Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
TEGNELIA ANTHONY G
   2. Issuer Name and Ticker or Trading Symbol
RYDER SYSTEM INC [R] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
President-Fleet Mgmt Solutions
(Last)
(First)
(Middle)
11690 N.W. 105 STREET		 3. Date of Earliest Transaction (Month/Day/Year)
05/08/2006
(Street)

MIAMI, FL 33178		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock 05/08/2006   M   3,333 A $ 26.83 30,359 D  
Common Stock 05/08/2006   M   13,333 A $ 22.1 43,692 D  
Common Stock 05/08/2006   M   16,667 A $ 36.88 60,359 D  
Common Stock 05/08/2006   S   33,333 D $ 54.4573 (1) 27,026 D  
Common Stock               840 I By Ryder Employee Savings Plan
Common Stock               234 I By Ryder Deferred Compensation Plan

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Stock Option (right to buy) $ 26.83 05/08/2006   M     3,333 02/15/2005 02/14/2009 Common Stock 3,333 $ 0 0 D  
Stock Option (right to buy) $ 22.1 05/08/2006   M     13,333   (2) 02/13/2010 Common Stock 13,333 $ 0 0 D  
Stock Option (right to buy) $ 36.88 05/08/2006   M     16,667   (3) 02/12/2011 Common Stock 16,667 $ 0 8,333 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
TEGNELIA ANTHONY G
11690 N.W. 105 STREET
MIAMI, FL 33178		       President-Fleet Mgmt Solutions  

Signatures

 /s/ Flora R. Perez, by power of attorney   05/10/2006
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) This reflects the average price at which the shares were sold. The sales prices ranged from $54.37 to $54.63
(2) 6,666 stock options vested on February 13, 2005 and 6,667 stock options vested on February 13, 2006.
(3) 8,334 stock options vested on February 12, 2005 and 8,333 stock options vested on February 12, 2006.

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