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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1. Name and Address of Reporting Person * BIRZER H KEVIN   2. Issuer Name and Ticker or Trading Symbol TORTOISE MLP FUND, INC. [NTG] 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) 11550 ASH STREET, SUITE 300 3. Date of Earliest Transaction (Month/Day/Year) 07/10/2018 (Street) LEAWOOD, KS 66211 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 Common Stock 07/10/2018   X   1,823 A (1) (2) 7,291 D   Common Stock               252 I By spouse as custodian of children's accounts

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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

Transferable Subscription Rights (Right to Buy) (1) (2)

(1) (2)

07/10/2018

X

5,469

06/19/2018

07/18/2018(1)(2)

Common Stock

1,823

(1) (2)

0

D

Transferable Subscription Rights (Right to Buy) (1) (2)

(1) (2)

06/19/2018

07/18/2018(1)(2)

Common Stock

84

252

I

By spouse as custodian of children's accounts

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
BIRZER H KEVIN 11550 ASH STREET SUITE 300 LEAWOOD, KS 66211	X

Signatures

H. Kevin Birzer		07/12/2018
**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)	On June 7, 2018, Tortoise MLP Fund, Inc. (the "Fund") announced the terms of a pro rata offering of transferable rights (the "Rights") to holders of the Fund's common shares, as of the record date of June 19, 2018 ("Record Date Shareholder"), entitling the holders of such rights to subscribe for up to an aggregate of 15,802,094 of the Fund's common shares. Record Date Shareholders received one Right for each outstanding whole common share held on the record date. The Rights entitle their holders to purchase one new common share for every three Rights held; however, any Record Date Stockholder who owns fewer than three common shares as of the Record Date will be entitled to subscribe for one common share. The subscription price per common share is an estimated $16.54 (the "basic subscription privilege").
(2)	The Rights Offering also includes an oversubscription privilege, which will entitle holders who fully exercise their basic subscription privilege the right to purchase, at an estimated price of $16.54 per common share, additional common shares of the Fund, subject to availability and pro rata allocation of shares among Record Date Shareholders exercising such oversubscription privilege. The reporting person exercised his basic subscription privilege and oversubscription privilege, and expects to participate in the Fund's allocation of available shares at the close of the subscription period. The subscription rights will expire if they are not exercised by 5:00 p.m. Eastern time on July 18, 2018 (unless otherwise extended).

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