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
                                                                                  
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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(f) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

IORDANOU CONSTANTINE 		2. Issuer Name and Ticker or Trading Symbol

ARCH CAPITAL GROUP LTD. [ ACGL ] 		5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__ X __ Director                      _____ 10% Owner
__ X __ Officer (give title below)      _____ Other (specify below)
Chairman, President & CEO
(Last)          (First)          (Middle)

WESSEX HOUSE, 4TH FLOOR, 45 REID STREET 		3. Date of Earliest Transaction (MM/DD/YYYY)

6/16/2010
(Street)

HAMILTON, D0 HM 12
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

 
6. Individual or Joint/Group Filing (Check Applicable Line)

_ X _ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3) 		2. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. 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 Shares, $.01 par value per share   6/16/2010     S    3500   (1) D $75.8034   (2) 199260   D    
Common Shares, $.01 par value per share   6/16/2010     S    6500   (1) D $76.0805   (3) 192760   D    
Common Shares, $01 par value per share   6/17/2010     S    5000   (1) D $77.0118   (5) 187760   D    
Common Shares, $.01 par value per share   6/18/2010     S    5000   (1) D $78.0301   (6) 182760   D    
Series B Non-Cumulative Preferred Shares (non-convertible)                  67273.3862   I   By GRAT  
Series A Non-Cumulative Preferred Shares (non-convertible)                  11224.4855   I   BY GRAT  
Common Shares, $.01 par value per share                  129415   I   By Limited Liability Company   (4)
Series B Non-Cumulative Preferred Shares (non-convertible)                  1400   I   By spouse  
Common Shares, $.01 par value per share                  7744   I   By children  

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3) 		2. Conversion or Exercise Price of Derivative Security 3. Trans. Date 3A. Deemed Execution Date, if any 4. Trans. 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 7. Title and Amount of Securities Underlying Derivative Security
(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

Explanation of Responses:
( 1)  The sale of shares was effected pursuant to a Rule 10b5-1 Plan adopted by the Reporting Person on June 15, 2010.
( 2)  Represents a weighted average sales price; the sales prices range from $75.66 to $75.99. Upon request, the full sale information regarding the number of shares sold at each price increment will be provided to the Commission or a security holder of the issuer.
( 3)  Represents a weighted average sales price; the sales prices range from $76 to $76.20. Upon request, the full sale information regarding the number of shares sold at each price increment will be provided to the Commission or a security holder of the issuer.
( 4)  The shares are owned by Mathiatis LLC, a limited liability company. The reporting person owns all of the membership interests in Mathiatis LLC and serves as its sole managing member.
( 5)  Represents a weighted average sales price; the sales prices range from $77 to $77.05. Upon request, the full sale information regarding the number of shares sold at each price increment will be provided to the Commission or a security holder of the issuer.
( 6)  Represents a weighted average sales price; the sales prices range from $78 to $78.08. Upon request, the full sale information regarding the number of shares sold at each price increment will be provided to the Commission or a security holder of the issuer.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
IORDANOU CONSTANTINE
WESSEX HOUSE, 4TH FLOOR
45 REID STREET
HAMILTON, D0 HM 12 		X
Chairman, President & CEO

Signatures
/s/ Louis T. Petrillo, Attorney in fact 6/18/2010
** Signature of Reporting Person Date


Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* 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).
Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
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.
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