Ownership Submission
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
OMB APPROVAL
OMB Number: 3235-0287
Expires: January 31, 2005
Estimated average burden hours per response... 0.5

(Print or Type Responses)
1. Name and Address of Reporting Person *
BANK OF AMERICA CORP /DE/
  2. Issuer Name and Ticker or Trading Symbol
BLACKROCK MUNIYIELD QUALITY FUND III, INC [MYI]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director __X__ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
BANK OF AMERICA CORPORATE CENTER, 100 N. TRYON STREET
3. Date of Earliest Transaction (Month/Day/Year)
06/30/2011
(Street)

CHARLOTTE, NC 28255
4. If Amendment, Date Original Filed(Month/Day/Year)
6. Individual or Joint/Group Filing(Check Applicable Line)
___ Form filed by One Reporting Person
_X_ 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
Auction Rate Preferred (1) 06/30/2011   J(2)   728 D (2) 0 I See Footnote (1)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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. SEC 1474 (9-02)

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

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
BANK OF AMERICA CORP /DE/
BANK OF AMERICA CORPORATE CENTER
100 N. TRYON STREET
CHARLOTTE, NC 28255
    X    
BANK OF AMERICA NA
BANK OF AMERICA CORPORATE CENTER
100 NORTH TRYON STREET
CHARLOTTE, NC 28255
    X    
Blue Ridge Investments, L.L.C.
214 N. TRYON STREET
CHARLOTTE, NC 28255
    X    
MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
4 WORLD FINANCIAL CENTER NORTH TOWER
NEW YORK, NY 10080
    X    

Signatures

 Bank of America Corporation and Bank of America, N.A., By: /s/ Michael Didovic, Title: Director   06/30/2011
**Signature of Reporting Person Date

 Merrill Lynch, Pierce, Fenner & Smith Incorporated, By: /s/ Lawrence Emerson, Title: Attorney-In-Fact   06/30/2011
**Signature of Reporting Person Date

 Blue Ridge Investments, L.L.C., By: /s/ John Hiebendahl, Title: SVP   06/30/2011
**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) The Auction Rate Preferred Shares ("Shares") reported in Table I represent Shares beneficially owned by Merrill Lynch, Pierce Fenner & Smith, Inc. ("MLPFS"), Bank of America, N.A. ("BANA") and Blue Ridge Investments, L.L.C. ("Blue Ridge"). MLPFS and BANA are wholly owned subsidiaries of Bank of America Corporation ("Bank of America") and Blue Ridge is a wholly owned subsidiary of BANA.
(2) Shares were called for redemption by the issuer at par value.
 
Remarks:
The Shares reported herein represent Bank of America's combined holdings in multiple series of auction rate preferred securities of the issuer, which are treated herein as one class of securities in accordance with the Auction Rate Securities - Global Exemptive Relief no-action letter issued by the Securities and Exchange Commission on September 22, 2008.  The transaction relates to CUSIP 09254E301.

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.