The Stratford, ON native was selected in the 6th round, 135th overall in the 1992 NHL Entry Draft by the Los Angeles Kings.
Murray spent four years at Michigan State where he was a CCHA First Team All-Rookie in 1992 and a CCHA Second Team All-Star in 1995. In the summer of 1995 the Edmonton Oilers signed Murray as a free agent and assigned him to their American Hockey League affiliate in Cape Bretonwhere he led the team in scoring as a rookie and finished 14th in AHL scoring with 90 points.
Following a successful rookie season in Cape Breton, Murray joined the Oilers for the 1996–97 season. He spent 6 seasons in Edmonton. This included the 1998–99 campaign where he set career highs for goals (21) and points (39). He was traded to the New York Rangers in 2002. In 2004, while playing for the Nashville Predators, Murray was diagnosed with a rare neck condition, (a form of dystonia) which tentatively forced him to retire in 2005. However, after failing a tryout with the Detroit Red Wings, Murray played the 2005–06 season with the Houston Aeros of the AHL, tallying 35 points in 54 games, good enough for Murray’s former team, the Edmonton Oilers, to sign him to a contract in March 2006, in time for him to take part in their run to the Stanley CupFinals.
After two successful seasons (2007,2008) for IFK Helsinki, Finland, Murray signed for HC Innsbruck in the Austrian hockey league. On 11 July 2009 signed a contract with Pustertal-Val Pusteria Wolves in the Serie A, and would spend the year with them before signing in Austria.
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