Ownership Submission
FORM 3
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

INITIAL STATEMENT OF 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
OMB APPROVAL
OMB Number: 3235-0104
Expires: January 31, 2005
Estimated average burden hours per response... 0.5

(Print or Type Responses)
1. Name and Address of Reporting Person *
  Goldstein Jeffrey A
2. Date of Event Requiring Statement (Month/Day/Year)
09/07/2006
3. Issuer Name and Ticker or Trading Symbol
ARCH CAPITAL GROUP LTD. [ACGL]
(Last)
(First)
(Middle)
HELLMAN & FRIEDMAN LLC, 375 PARK AVENUE, SUITE 2001
4. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
__X__ Director _____ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
5. If Amendment, Date Original Filed(Month/Day/Year)
(Street)

NEW YORK, NY 10152
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 Beneficially Owned
1.Title of Security
(Instr. 4)
2. Amount of Securities Beneficially Owned
(Instr. 4)
3. Ownership Form: Direct (D) or Indirect (I)
(Instr. 5)
4. Nature of Indirect Beneficial Ownership
(Instr. 5)
Common Shares, $.01 par value per share (1) (2) 576 (3)
D
 

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly. SEC 1473 (7-02)
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 4)
2. Date Exercisable and Expiration Date
(Month/Day/Year)
3. Title and Amount of Securities Underlying Derivative Security
(Instr. 4)
4. Conversion or Exercise Price of Derivative Security 5. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 5)
6. Nature of Indirect Beneficial Ownership
(Instr. 5)
Date Exercisable Expiration Date Title Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address Relationships
Director 10% Owner Officer Other
Goldstein Jeffrey A
HELLMAN & FRIEDMAN LLC
375 PARK AVENUE, SUITE 2001
NEW YORK, NY 10152
  X      

Signatures

/s/ Jeffrey A. Goldstein 09/15/2006
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 5(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) The 576 Common Shares are held by Mr. Goldstein for the benefit of the following security holders: HFCP IV (Bermuda), L.P., H&F International Partners IV-A (Bermuda), L.P., H&F International Partners IV-B (Bermuda), L.P. and H&F Executive Fund IV (Bermuda), L.P. (collectively, the Partnerships). H&F Investors IV (Bermuda), L.P. (HFI IV Bermuda) is the sole general partner of the Partnerships. H&F Corporate Investors IV (Bermuda), Ltd. (HFCI Bermuda) is the sole general partner of HFI IV Bermuda. A five member investment committee of HFCI Bermuda (Investment Committee) has investment discretion over the securities.
(2) Mr. Goldstein is not a member of the Investment Committee and has no pecuniary interest in the Partnerships. Mr. Goldstein disclaims beneficial ownership of the Common Shares beneficially owned by the Partnership, including the 576 Common Shares described herein.
(3) Subject to the terms of the restricted share agreement, this represents restricted shares that will vest on May 2, 2007.

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

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.