The 35th Chess Olympiad (Slovene: 35. Šahovska olimpijada), organized by the Fédération Internationale des Échecs and comprising an open and women's tournament, took place between October 25 and November 11, 2002, in Bled, Slovenia. There were 135 teams in the open event and 90 in the women's event.

Both tournament sections were officiated by international arbiter Geurt Gijssen (Netherlands). Teams were paired across the 14 rounds of competition according to the Swiss system. The open division was played over four boards per round, whilst the women's was played over three. In the event of a draw, the tie-break was decided by 1. The Buchholz system; and 2. Match points.

The time control for each game permitted each player 90 minutes for all their moves, with an additional 30 seconds increment for each player after each move, beginning with the first.

In addition to the overall medal winners, the teams were divided into seeding groups, with the top finishers in each group receiving special prizes.