Exhibit 32.1

CERTIFICATIONS 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 Quarterly Report of Nevro Corp. (the “Company”) on Form 10-Q for the fiscal quarter ended June 30, 2024, as filed with the Securities and Exchange Commission (the “Report”), Kevin Thornal, Chief Executive Officer of the Company, and Roderick H. MacLeod, Chief Financial Officer of the Company, respectively, do each hereby certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

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

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

Date: August 6, 2024

/s/ KEVIN THORNAL

Kevin Thornal

Chief Executive Officer

(Principal Executive Officer)

/s/ RODERICK H. MACLEOD

Roderick H. MacLeod

Chief Financial Officer

(Principal Financial Officer)