Annaly Capital Management (NLY) 10-Q 2020 Q3 Quarterly report

ANNALY CAPITAL MANAGEMENT, INC. AND SUBSIDIARIES

Exhibit 32.1

ANNALY CAPITAL MANAGEMENT, INC.

1211 AVENUE OF THE AMERICAS

NEW YORK, NEW YORK 10036

CERTIFICATION

PURSUANT TO SECTION 906 OF THE

SARBANES-OXLEY ACT OF 2002, 18 U.S.C. SECTION 1350

In connection with the quarterly report on Form 10-Q of Annaly Capital Management, Inc. (the “Company”) for the quarter ended September 30, 2020 to be filed with the Securities and Exchange Commission on or about the date hereof (the “Report”), I, David L. Finkelstein, Chief Executive Officer of the Company, certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, 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 Company at the dates of, and for the periods covered by, the Report.

It is not intended that this statement be deemed to be filed for purposes of the Securities Exchange Act of 1934.

/s/ David L. Finkelstein

David L. Finkelstein

Chief Executive Officer and Chief Investment Officer (Principal Executive Officer)

November 5, 2020