March 25, 2011

U.S. Securities and Exchange Commission

100 F Street, N.E.

Washington, DC 20549

RE: VANGUARD CONVERTIBLE SECURITIES FUND (THE TRUST)

FILE NO. 33-4424

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Ladies and Gentlemen:

Transmitted herewith pursuant to Rule 497(j) under the Securities Act of 1933 is certification that the Prospectus and Statement of Additional Information with respect to the above-referenced Trust do not differ from that filed in the most recent post-effective amendment, which was filed electronically.

Sincerely,

Judith L. Gaines

Associate Counsel

The Vanguard Group, Inc.

Enclosures

cc: Brion Thompson, Esq.

U.S. Securities and Exchange Commission