Vanguard Convertible Securities Fund (VCVSX) N-CSR Certified annual shareholder report (management investment company)

Certification Pursuant to 18 U.S.C. Section 1350,

As Adopted Pursuant to

Section 906 of the Sarbanes-Oxley Act of 2002

Name of Issuer: Vanguard Convertible Securities Fund

In connection with the Report on Form N-CSR of the above-named issuer that is accompanied by this certification, the undersigned hereby certifies, to his knowledge, that:

1.  The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2.  The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the issuer.

Date:   January 17, 2008	/s/ John J. Brennan
	Chief Executive Officer

Certification Pursuant to 18 U.S.C. Section 1350,

As Adopted Pursuant to

Section 906 of the Sarbanes-Oxley Act of 2002

Name of Issuer: Vanguard Convertible Securities Fund

In connection with the Report on Form N-CSR of the above-named issuer that is accompanied by this certification, the undersigned hereby certifies, to his knowledge, that:

1.  The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2.  The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the issuer.

Date:   January 17, 2008	/s/ Thomas J. Higgins
	Treasurer