FORM 3
        
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES

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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      
1. Name and Address of Reporting Person * Gallagher Patrick Murphy 2. Date of Event Requiring Statement (MM/DD/YYYY)
5/10/2022 

3. Issuer Name and Ticker or Trading Symbol Arthur J. Gallagher & Co. [AJG]
(Last)        (First)        (Middle)
2850 GOLF ROAD
4. Relationship of Reporting Person(s) to Issuer (Check all applicable)_____ Director                          _____ 10% Owner
___X___ Officer (give title below)        _____ Other (specify below)
Vice President /
(Street)
ROLLING MEADOWS, IL 60008      
(City)              (State)              (Zip)
5. 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 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 Stock  21602  D   
Common Stock (restricted)  6580  D   
Common Stock  80891  I  By Trust (1)
Common Stock  54928  I  By Irrevocable Trust 
Common Stock  18168  I  By Trust (2)
Common Stock  8152  I  By Spouse as Trustee (3)
Common Stock  7618  I  By Spouse's Trust (4)
Common Stock  182  I  Gallagher 401(k) plan account 

Table II - Derivative Securities Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 4)
2. Date Exercisable and Expiration Date
(MM/DD/YYYY)
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
Phantom Stock   (5)  (5) Common Stock  10935   (6) D   
Phantom Stock   (7)  (7) Common Stock  3659   (6) D   
Non-qualified Stock Option   (8)(9) 3/17/2023  Common Stock  9900  $43.71  D   
Non-qualified Stock Option   (9)(10) 3/16/2024  Common Stock  7400  $56.86  D   
Non-qualified Stock Option   (9)(11) 3/15/2025  Common Stock  5250  $70.74  D   
Non-qualified Stock Option   (9)(12) 3/14/2026  Common Stock  5000  $79.59  D   
Non-qualified Stock Option   (9)(13) 3/12/2027  Common Stock  6270  $86.17  D   
Non-qualified Stock Option   (9)(14) 3/16/2028  Common Stock  7255  $127.90  D   
Non-qualified Stock Option   (9)(15) 3/15/2029  Common Stock  5510  $158.56  D   

Explanation of Responses:
(1)  Shares held in trust for the benefit of the reporting person's children, of which he is a trustee.
(2)  Shares held in trust for the benefit of the reporting person's children, of which he is a trustee.
(3)  Shares held in trusts, for the benefit of the reporting person's children, of which his wife is sole trustee.
(4)  Shares held in revocable trust of which the reporting person's spouse is sole Trustee and as to which he disclaims beneficial ownership.
(5)  These shares represent awards under the Age 62 Plan, a nonqualified deferred compensation plan of the Company, which have been deemed invested in Company common stock at the election of the reporting person. Participants vest in these awards when they attain age 62, or after a one-year period for participants who have attained age 61.
(6)  Each share of phantom stock represents a right to receive one share of Gallagher common stock.
(7)  These shares represent awards under the Deferred Cash Participation Plan, a nonqualified deferred compensation plan of the Company, which have been deemed invested in Company common stock at the election of the participant. These awards are payable in a lump sum on the six-month anniversary of the reporting person's separation from service.
(8)  Grant date of 3/17/2016.
(9)  One-third of this stock option becomes exerciseable on each of the 3rd, 4th, and 5th anniversaries of the grant date.
(10)  Grant date of 3/16/2017.
(11)  Grant date of 3/15/2018.
(12)  Grant date of 3/14/2019.
(13)  Grant date of 3/12/2020.
(14)  Grant date of 3/16/2021.
(15)  Grant date of 3/15/2022.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
Gallagher Patrick Murphy
2850 GOLF ROAD
ROLLING MEADOWS, IL 60008


Vice President

Signatures
/s/ Seth Diehl, by power of attorney 5/20/2022
**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 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).
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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