Chandler won the New Zealand chess championship in 1975–76, and qualified as an International Master in 1977 by winning the first Asian Junior Chess Championship in Baguio.
His first international chess appearance was in 1974 when he turned out for the New Zealand team in the first Asian Team Chess Championship in Penang, Malaysia.
Later, he represented New Zealand at the Chess Olympiads of 1976, 1978 and 1980 but then switched allegiance to England.
He played for England at the Chess Olympiads of 1982, 1984, 1986, 1988, 1990 and 1992, as part of a highly successful team that defeated the Soviets in some crucial encounters.
He maintained an Elo rating around the 2600 level between 1987 and 1992, and qualified for the grandmaster title in 1983.

Amongst Chandler's best results have been Commonwealth Champion (twice – jointly in 1984 and outright in 1987), first place at Brighton 1981, first place in the Blackpool Zonal of 1990, tie for first place, Lloyds Bank Masters 1979, tie for first place, Hastings Premier 1986/7, and tied for second place (behind Anatoly Karpov), London 1984.
He also played for the Rest of World team versus the Soviet Union in 1984 and tied first at the British Chess Championship of 1986, but lost the play-off match for the title.

Chessmetrics provides:
Best World Rank:    No.
29 (4 different months between the January 1987 rating list and the May 1988 rating list)
Highest Rating:    2600 on the July 1988 rating list, No.
30 in world, age 28y3m
Best Individual Performance:    2750 in London, 1984, scoring 8/13 (62%) vs. 2704-rated opposition
One curiosity is his lifetime score of two wins, no draws, no losses against Garry Kasparov.
One win was in the World Under-16 Championship in 1976, and the other in a simultaneous display in 1985.

Chandler was editor of British Chess Magazine from 1991 to 1999.
In the late 1990s he also set up Gambit Publications, a publisher of high quality chess books that has received good reviews from all quarters.
Fellow Gambit directors were England teammate John Nunn and FIDE Master-cum-author, Graham Burgess.
The company now has a large back-catalogue containing contributions from all three directors and from a host of other respected chess writers.
Books like Modern Chess Strategy by John L. Watson have been highly acclaimed and Chandler's own How To Beat Your Dad At Chess is a very large seller.
He also produced VHS and DVD material for Bad Bishop Ltd., a company related to Gambit, including a repertoire against the Nc6 Sicilian, based on the early Bb5 lines.
 
He returned to New Zealand in 2006, winning his second New Zealand Chess Championship that year and a third champion's title in 2008.
He has now reverted his player registration to the New Zealand Federation, making him eligible once more to play for his country of birth.

In 2013, he purchased the old Saint Paul's church in Auckland, converting it into a chess coaching centre.

In the 2017 New Year Honours Chandler was appointed a Member of the New Zealand Order of Merit for services to chess.
Chandler won the New Zealand chess championship in 1975–76, and qualified as an International Master in 1977 by winning the first Asian Junior Chess Championship in Baguio. His first international chess appearance was in 1974 when he turned out for the New Zealand team in the first Asian Team Chess Championship in Penang, Malaysia. Later, he represented New Zealand at the Chess Olympiads of 1976, 1978 and 1980 but then switched allegiance to England. He played for England at the Chess Olympiads of 1982, 1984, 1986, 1988, 1990 and 1992, as part of a highly successful team that defeated the Soviets in some crucial encounters. He maintained an Elo rating around the 2600 level between 1987 and 1992, and qualified for the grandmaster title in 1983.
Amongst Chandler's best results have been Commonwealth Champion (twice – jointly in 1984 and outright in 1987), first place at Brighton 1981, first place in the Blackpool Zonal of 1990, tie for first place, Lloyds Bank Masters 1979, tie for first place, Hastings Premier 1986/7, and tied for second place (behind Anatoly Karpov), London 1984. He also played for the Rest of World team versus the Soviet Union in 1984 and tied first at the British Chess Championship of 1986, but lost the play-off match for the title.
Chessmetrics provides:
Best World Rank:    No. 29 (4 different months between the January 1987 rating list and the May 1988 rating list)
Highest Rating:    2600 on the July 1988 rating list, No. 30 in world, age 28y3m
Best Individual Performance:    2750 in London, 1984, scoring 8/13 (62%) vs. 2704-rated opposition
One curiosity is his lifetime score of two wins, no draws, no losses against Garry Kasparov. One win was in the World Under-16 Championship in 1976, and the other in a simultaneous display in 1985.
Chandler was editor of British Chess Magazine from 1991 to 1999. In the late 1990s he also set up Gambit Publications, a publisher of high quality chess books that has received good reviews from all quarters. Fellow Gambit directors were England teammate John Nunn and FIDE Master-cum-author, Graham Burgess. The company now has a large back-catalogue containing contributions from all three directors and from a host of other respected chess writers. Books like Modern Chess Strategy by John L. Watson have been highly acclaimed and Chandler's own How To Beat Your Dad At Chess is a very large seller. He also produced VHS and DVD material for Bad Bishop Ltd., a company related to Gambit, including a repertoire against the Nc6 Sicilian, based on the early Bb5 lines.  
He returned to New Zealand in 2006, winning his second New Zealand Chess Championship that year and a third champion's title in 2008. He has now reverted his player registration to the New Zealand Federation, making him eligible once more to play for his country of birth.
In 2013, he purchased the old Saint Paul's church in Auckland, converting it into a chess coaching centre.
In the 2017 New Year Honours Chandler was appointed a Member of the New Zealand Order of Merit for services to chess.
Murray Chandler