Undisputed World Champion from 1985 until 1993, and Classical World Champion from 1993 until 2000.
Championship wins:
- Soviet Junior Championship (1976 and 1977
- World Junior Champion (1980)
- Joint Soviet Champion in 1980-81 with Lev Psakhis
- Kasparov and Karpov tied in the Super-Soviet Championship in 1988
- Russian Championship Superfinal (2004)
World championship cycles:
- Won the 1982 Moscow Interzonal tournament
- Won the Candidates Tournament in 1983-84 to become the Challenger to World Champion Karpov.
- The 1984 Karpov-Kasparov World Championship match was called off by the FIDE President after 48 games without a final result although(with Karpov retaining the title
- In 1985, Kasparov the World Championship match in Moscow by 13–11
- The rematch in 1986 against Karpov was also won by Kasparov
- The fourth match was played in 1987 in Seville and was drawn.
- The fifth and last championship match between Kasparov and Karpov in 1990 was won by Kasparov
When the World Championship cycle was split:
- Kasparov successfully defended his title against Nigel Short in 1993, and
- against Anand in 1995.
- In 2000 he lost to Vladimir Kramnik in a match that had no qualifying events.
Further attempts to organize subsequent World Championship matches against Ponomariov and Kasimdzhanov fell through and Kasparov retired from competitive classical chess in 2005.
Major tournament wins
- Sokolsky Memorial tournament in Minsk (1978)
- Banja Luka, Yugoslavia (1979) as an unrated player
- Bugojno, Yugoslavia in 1982
- Linares (1992, 1993, 1997,1999, 2000, 2001, 2002 & 2005)
- Wijk aan Zee (1999, 2000, 2001)
- Sarajevo 2 (1999, 2000) and
- Astana 1 (2001)
Olympiads
- Kasparov represented the Soviet Union four times in the Olympiads, in 1980, 1982, 1986 and 1988, and
- Russia four times: in 1992, 1994, 1996 and 2002
- He won 19 medals, including 8 team gold medals, 5 board golds, 2 performance golds, 2 performance silvers and 2 board bronzes.
- Kasparov also played for the USSR in the 1981 Youth Olympiad on board 1 winning the gold medal.
Matches:
Kasparov played numerous matches outside the World championship cycle without losing any. His opponents included:
- 1981: vs Romanishin (+1 -1 =0); vs Smyslov (+2 -0 =0); and vs Karpov (+0 -0 =2 ) in the 1981 National Match-Tournament, Moscow
- 1984: vs Timman (+1 -0 =3 in USSR vs World)
- 1985: vs Ulf Andersson (+2 -0 =4 Belgrade), vs Hübner (+3 -0 =3 Hamburg) and vs Timman (+3 -1 =2 Hilversum)
- 1986: vs Miles (+5 -0 =1 Basel)
- 1988: vs Hort (+2 -0 =1 Cologne)
- 1990: vs Psakhis (+4 -0 =2 Murcia) and vs Hansen (+1 -0 =1 Svendborg)
Computer Matches
- 1989: Defeated the Deep Thought computer 2-0
- 1996: defeated IBM's Deep Blue +3-1=2
- 1997: lost to Deep Blue 3½–2½
- 2003, drew a six game match against Deep Junior and later that year drew a four-game match against X3D Fritz
Rating
World #1 almost continuously from 1986 until his retirement in 2005. He was the world number-one ranked player for 255 months. When he retired, he was still ranked #1 in the world, with a rating of 2812. In July 1999 and January 2000 Kasparov was officially rated 2851 Elo rating, which has only ever been surpassed by one other player, Magnus Carlsen in 2013. For a period in the early 1990s, Kasparov was over 2800 and the only person over 2700 was Anatoly Karpov.