Exhibit 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER

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 on Form 10-Q of SolarWinds, Inc. for the quarterly period ended March 31, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Kevin B. Thompson, as Principal Executive Officer of SolarWinds, Inc., 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, and the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of SolarWinds, Inc.

In connection with the Quarterly Report on Form 10-Q of SolarWinds, Inc. for the quarterly period ended March 31, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Michael J. Berry, as Principal Financial Officer of SolarWinds, Inc., 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, and the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of SolarWinds, Inc.