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.

Yevgeny Kafelnikov defeated Goran Ivanišević 7–6(7–2), 7–6(7–5) Mary Pierce defeated Monica Seles 7–6(7–2), 6–3 Jared Palmer / Jeff Tarango defeated Yevgeny Kafelnikov / Daniel Vacek 6–4, 6–7, 6–2 Mary Pierce / Natasha Zvereva defeated Lisa Raymond / Rennae Stubbs 6–3, 6–4