The Grandmasters Association held six World Cup tournaments over 1988 and 1989, with some of the world's best players invited. The first three of these tournaments were held in 1988.
1 April – 22 April: The first tournament was held in Brussels and won by Karpov with 11/16, ahead of Valery Salov with 10.[3]
14 June – 3 July: The second tournament was held in Belfort, France, and won by Kasparov with 11½/15, ahead of Karpov with 10½.[4]
3 October – 24 October: The third tournament was held in Reykjavík and was again won by Kasparov, with 11/17. Beliavsky was second, with 10½/15.[5]