The 2001 Kremlin Cup was a tennis tournament played on indoor carpet courts at the Olympic Stadium in Moscow in Russia that was part of the International Series of the 2001 ATP Tour and of Tier I of the 2001 WTA Tour.

The tournament ran from 1 October through 7 October 2001.

[1] Yevgeny Kafelnikov defeated Nicolas Kiefer 6–4, 7–5 Jelena Dokić defeated Elena Dementieva 6–3, 6–3 Max Mirnyi / Sandon Stolle defeated Mahesh Bhupathi / Jeff Tarango 6–3, 6–0 Martina Hingis / Anna Kournikova defeated Elena Dementieva / Lina Krasnoroutskaya 7–6(7–1), 6–3