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.
See main article: 1998 Kremlin Cup – Men's singles. Yevgeny Kafelnikov defeated Goran Ivanišević 7–6(7–2), 7–6(7–5)
See main article: 1998 Kremlin Cup – Women's singles. Mary Pierce defeated Monica Seles 7–6(7–2), 6–3
See main article: 1998 Kremlin Cup – Men's doubles. Jared Palmer / Jeff Tarango defeated Yevgeny Kafelnikov / Daniel Vacek 6–4, 6–7, 6–2
See main article: 1998 Kremlin Cup – Women's doubles. Mary Pierce / Natasha Zvereva defeated Lisa Raymond / Rennae Stubbs 6–3, 6–4