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.

Finals

Men's singles

🇷🇺 Yevgeny Kafelnikov defeated 🇩🇪 Nicolas Kiefer 6–4, 7–5

Women's singles

Jelena Dokić defeated 🇷🇺 Elena Dementieva 6–3, 6–3

Men's doubles

🇧🇾 Max Mirnyi / 🇦🇺 Sandon Stolle defeated 🇮🇳 Mahesh Bhupathi / 🇺🇸 Jeff Tarango 6–3, 6–0

Women's doubles

Martina Hingis / 🇷🇺 Anna Kournikova defeated 🇷🇺 Elena Dementieva / 🇷🇺 Lina Krasnoroutskaya 7–6(7–1), 6–3