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 * Gibbard Lisa Ms.   2. Issuer Name and Ticker or Trading Symbol ASPEN INSURANCE HOLDINGS LTD [AHL] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chief of Operarations (Last) (First) (Middle) ASPEN INSURANCE HOLDINGS LIMITED, 141 FRONT STREET 3. Date of Earliest Transaction (Month/Day/Year) 04/25/2016 (Street) HAMILTON, D0 HM19 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 Ordinary Shares 04/25/2016   A   750 A (1) 6,315 D   Ordinary Shares 04/25/2016   F(2)   353 D $ 47.04 5,962 D

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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

Restricted Share Units (2014 Grant)

(3)

04/25/2016

M

750

(4)

(4)

Ordinary Shares

750

(3)

750

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Gibbard Lisa Ms. ASPEN INSURANCE HOLDINGS LIMITED 141 FRONT STREET HAMILTON, D0 HM19			Chief of Operarations

Signatures

/s/Silvia Martinez as Attorney-in-fact for Lisa Gibbard		04/26/2016
**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)	Ordinary shares acquired upon mandatory conversion of previously granted Restricted Share Units.
(2)	Ordinary shares withheld in order to satisfy tax liability upon vesting of previously granted Restricted Share Units.
(3)	Each Restricted Share Unit represents the right to receive one share of the Issuer's Ordinary Shares.
(4)	Represents 2014 Restricted Share Units granted on April 25, 2014 under our 2013 Share Incentive Plan. One-third of the 2014 Restricted Share Units vests annually on the anniversary of the grant date over a three-year period, in each case subject to the Reporting Person's continued service. Upon vesting of the 2014 Restricted Share Units, the Reporting Person shall be entitled to received a number of Ordinary Shares equal to the number of Restricted Share Units then vesting.

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