EXHIBIT 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the annual report of Anworth Mortgage Asset Corporation (the “Company”) on Form 10-K for the year ended December 31, 2015, as filed with the Securities and Exchange Commission on February 26, 2016 (the “Report”), I, Joseph Lloyd McAdams, Chairman of the Board, President and Chief Executive Officer (Principal Executive Officer) of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

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

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

February 26, 2016

/S/    JOSEPH LLOYD MCADAMS

Joseph Lloyd McAdams

Chairman of the Board, President and

Chief Executive Officer

(Principal Executive Officer)

(authorized officer of registrant)