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 * Hrelic Darko   2. Issuer Name and Ticker or Trading Symbol GARTNER INC [IT] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) SVP & CIO (Last) (First) (Middle) 56 TOP GALLANT RD 3. Date of Earliest Transaction (Month/Day/Year) 06/06/2012 (Street) STAMFORD, CT 06902 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 06/06/2012   S   32,666 D $ 41.454 (1) 50,862 D   Common Stock 06/06/2012   M   9,446 A $ 18.1 60,308 D   Common Stock 06/06/2012   D   4,089 (2) D $ 41.82 56,219 D   Common Stock 06/06/2012   F   2,311 (3) D $ 41.82 53,908 D   Common Stock 06/06/2012   M   12,129 A $ 11.11 66,037 D   Common Stock 06/06/2012   D   3,223 (2) D $ 41.82 62,814 D   Common Stock 06/06/2012   F   3,843 (3) D $ 41.82 58,971 D   Common Stock 06/06/2012   M   7,488 A $ 22.06 66,459 D   Common Stock 06/06/2012   D   3,950 (2) D $ 41.82 62,509 D   Common Stock 06/06/2012   F   1,526 (3) D $ 41.82 60,983 D   Common Stock 06/06/2012   M   4,699 A $ 38.05 65,682 D   Common Stock 06/06/2012   D   4,276 (2) D $ 41.82 61,406 D   Common Stock 06/06/2012   F   182 (3) D $ 41.82 61,224 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 Appreciation Rights

$ 18.1

06/06/2012

M

9,446

02/15/2009(4)

02/15/2015

Common Stock

9,446

$ 0

0

D

Stock Appreciation Rights

$ 11.11

06/06/2012

M

12,129

02/11/2010(5)

02/11/2016

Common Stock

12,129

$ 0

12,129

D

Stock Appreciation Rights

$ 22.06

06/06/2012

M

7,488

02/11/2011(6)

02/11/2017

Common Stock

7,488

$ 0

14,974

D

Stock Appreciation Rights

$ 38.05

06/06/2012

M

4,699

02/22/2012(7)

02/22/2018

Common Stock

4,699

$ 0

14,095

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Hrelic Darko 56 TOP GALLANT RD STAMFORD, CT 06902			SVP & CIO

Signatures

/s/ Jane Lucas for Darko Hrelic		06/07/2012
**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 transaction was executed in multiple trades at prices ranging from $41.38 to $41.47. The price above reflects the weighted average sale price. The reporting person hereby undertakes to provide upon request to the SEC staff, the issuer or a security holder of the issuer full information regarding the number of shares and prices at which the transaction was effected.
(2)	Represents the simultaneous sale back to the issuer of this number of shares having an aggregrate value, based on the market price on the date of exercise, substantially equal to the aggregrate exercise price of the SARs.
(3)	Represents shares withheld from the settlement of the SARs for the payment of applicable income and payroll tax withholding due upon exercise.
(4)	The SARs became exercisable in four substantially equal annual installments commencing on 2/15/2009 and are fully exercisable.
(5)	The SARs became exercisable in four substantially equal annual installments commencing on 2/11/2010 and are fully exercisable.
(6)	The SARs became exercisable in four substantially equal annual installments commencing on 2/11/2011 and are fully exercisable.
(7)	The SARs became exercisable in four substantially equal annual installments commencing on 2/22/2012 and are fully exercisable.

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