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 * STONE HEISZ LESLIE   2. Issuer Name and Ticker or Trading Symbol HCC INSURANCE HOLDINGS INC/DE/ [HCC] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) C/O HCC INSURANCE HOLDINGS, INC., 13403 NORTHWEST FREEWAY 3. Date of Earliest Transaction (Month/Day/Year) 05/26/2011 (Street) HOUSTON, TX 77040 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

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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

Deferred Stock

(1)

(2)

(2)

Common Stock

1,496.59

1,496.59

D

Deferred Stock

(1)

05/26/2011

A

2,458 (3)

(2)

(2)

Common Stock

2,458

$ 32.54 (3)

3,954.59

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
STONE HEISZ LESLIE C/O HCC INSURANCE HOLDINGS, INC. 13403 NORTHWEST FREEWAY HOUSTON, TX 77040	X

Signatures

Randy D. Rinicella as Attorney in Fact for Leslie Stone Heisz		05/31/2011
**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)	Each share of deferred stock represents the right to receive one share of HCC common stock.
(2)	The deferred stock will be payable to the reporting person in shares of HCC common stock upon occurrence of certain payment events, including reporting person's termination of service as a director or a change in control of HCC Insurance Holdings, Inc.
(3)	As part of the annual director compensation package, each non-employee director received a grant of a whole number of shares of HCC common stock determined by dividing $80,000 by the closing price on May 26, 2011, the date of the Annual Meeting of Stockholders. The reporting person has elected to defer receipt of such shares pursuant to the HCC Insurance Holdings, Inc. Nonqualified Deferred Compensation Plan for Non-Employee Directors.

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