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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1. Name and Address of Reporting Person * Ward Thomas J   2. Issuer Name and Ticker or Trading Symbol SNAP ON INC [SNA] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Sr VP & President - Tools (Last) (First) (Middle) 2801 80TH STREET 3. Date of Earliest Transaction (Month/Day/Year) 05/06/2008 (Street) KENOSHA, WI 53143 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 05/06/2008   M   2,000 A $ 34.5 2,471.823 D   Common Stock 05/06/2008   M   10,000 A $ 29.16 12,471.823 D   Common Stock 05/06/2008   S   8 D $ 60.2 12,463.823 D   Common Stock 05/06/2008   S   200 D $ 60.21 12,263.823 D   Common Stock 05/06/2008   S   300 D $ 60.22 11,963.823 D   Common Stock 05/06/2008   S   400 D $ 60.23 11,563.823 D   Common Stock 05/06/2008   S   204 D $ 60.24 11,359.823 D   Common Stock 05/06/2008   S   896 D $ 60.25 10,463.823 D   Common Stock 05/06/2008   S   1,000 D $ 60.26 9,463.823 D   Common Stock 05/06/2008   S   1,500 D $ 60.27 7,963.823 D   Common Stock 05/06/2008   S   100 D $ 60.272 7,863.823 D   Common Stock 05/06/2008   S   100 D $ 60.29 7,763.823 D   Common Stock 05/06/2008   S   100 D $ 60.293 7,663.823 D   Common Stock 05/06/2008   S   300 D $ 60.3 7,363.823 D   Common Stock 05/06/2008   S   700 D $ 60.31 6,663.823 D   Common Stock 05/06/2008   S   600 D $ 60.32 6,063.823 D   Common Stock 05/06/2008   S   300 D $ 60.33 5,763.823 D   Common Stock 05/06/2008   S   400 D $ 60.34 5,363.823 D   Common Stock 05/06/2008   S   200 D $ 60.36 5,163.823 D   Common Stock 05/06/2008   S   300 D $ 60.363 4,863.823 D   Common Stock 05/06/2008   S   200 D $ 60.38 4,663.823 D   Common Stock 05/06/2008   S   200 D $ 60.39 4,463.823 D   Common Stock 05/06/2008   S   400 D $ 60.4 4,063.823 D   Common Stock 05/06/2008   S   300 D $ 60.42 3,763.823 D   Common Stock 05/06/2008   S   100 D $ 60.43 3,663.823 D   Common Stock 05/06/2008   S   300 D $ 60.45 3,363.823 D   Common Stock 05/06/2008   S   100 D $ 60.46 3,263.823 D   Common Stock 05/06/2008   S   200 D $ 60.47 3,063.823 D   Common Stock 05/06/2008   S   500 D $ 60.48 2,563.823 D   Common Stock 05/06/2008   S   100 D $ 60.482 2,463.823 D

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)	$ 34.5	05/06/2008		M			2,000	01/22/2001	01/22/2009	Common Stock	2,000	(1)	0	D
Stock Option (Right to Buy)	$ 29.16	05/06/2008		M			10,000	05/29/2003	05/29/2011	Common Stock	10,000	(1)	0	D
Stock Option (Right to Buy)	$ 32.22							01/25/2004	01/25/2012	Common Stock	9,000		9,000	D
Stock Option (Right to Buy)	$ 31.52							01/23/2006	01/23/2014	Common Stock	7,200		7,200	D
Stock Option (Right to Buy)	$ 33.75							02/18/2007	02/18/2015	Common Stock	6,480		6,480	D
Stock Option (Right to Buy)	$ 31.48							02/18/2007	04/01/2015	Common Stock	3,220		3,220	D
Stock Option (Right to Buy)	$ 39.35							02/16/2008	02/16/2016	Common Stock	15,000		15,000	D
Stock Option (Right to Buy)	$ 37.47							04/27/2008	04/27/2016	Common Stock	5,000		5,000	D
Stock Option (Right to Buy)	$ 50.22							(2)	02/15/2017	Common Stock	40,000		40,000	D
Stock Option (Right to Buy)	$ 54.5							(3)	04/30/2017	Common Stock	10,000		10,000	D
Stock Option (Right to Buy)	$ 51.75							(4)	02/13/2018	Common Stock	40,000		40,000	D
Restricted Stock	(5)							(6)	(6)	Common Stock	12,000		12,000	D
Restricted Stock	(5)							(7)	(7)	Common Stock	18,500		18,500	D
Restricted Stock	(5)							(8)	(8)	Common Stock	20,600		20,600	D
Deferred Stock Units	(5)							(9)	(9)	Common Stock	6.6774 (10)		6.6774 (10)	D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Ward Thomas J 2801 80TH STREET KENOSHA, WI 53143			Sr VP & President - Tools

Signatures

Kenneth V. Hallett under Power of Attorney for Thomas J. Ward		05/07/2008
**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)	Exercise of Rule 16b-3 stock option.
(2)	One third of the option vested on 2/15/2008, and one third will vest on each of 2/15/2009 and 2/15/2010.
(3)	One third of the option vested on 4/30/2008, and one third will vest on each of 4/30/2009 and 4/30/2010.
(4)	One third of the option vests on each of 2/13/2009, 2/13/2010 and 2/13/2011.
(5)	1 for 1.
(6)	The stock vests on the achievement of certain company initiatives over the 2006-2008 period.
(7)	The stock vests on the achievement of certain company initiatives over the 2007-2009 period.
(8)	The stock vests on the achievement of certain company initiatives over the 2008-2010 period.
(9)	Payments will begin within 30 days first beginning after the earliest of the date specified in advance of the deferral by the reporting person, death, disability, retirement or termination of employment.
(10)	Includes 0.0421 deferred stock units acquired though exempt dividend reinvestments.
Remarks: Due to line entry restrictions, this is form 1 of 2 reporting exempt option exercises for a total of 12,000 shares, and the sale of those shares, on May 6, 2008.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

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