The 1998 Kremlin Cup was a tennis tournament played on indoor carpet courts at the Olympic Stadium in Moscow in Russia that was part of the World Series of the 1998 ATP Tour and of Tier I of the 1998 WTA Tour. The men's tournament was held from 9 November through 15 November 1998, while the women's tournament was held from 20 October through 25 October 1998. Yevgeny Kafelnikov and Mary Pierce won the singles title.

Finals

Men's singles

🇷🇺 Yevgeny Kafelnikov defeated Goran Ivanišević 7–6(7–2), 7–6(7–5)

Women's singles

🇫🇷 Mary Pierce defeated 🇺🇸 Monica Seles 7–6(7–2), 6–3

Men's doubles

🇺🇸 Jared Palmer / 🇺🇸 Jeff Tarango defeated 🇷🇺 Yevgeny Kafelnikov / 🇨🇿 Daniel Vacek 6–4, 6–7, 6–2

Women's doubles

🇫🇷 Mary Pierce / 🇧🇾 Natasha Zvereva defeated 🇺🇸 Lisa Raymond / 🇦🇺 Rennae Stubbs 6–3, 6–4