He was selected 6th overall by the Vancouver Grizzlies in the 1996 NBA Draft. He was the Grizzlies' first-ever draft choice. During his six seasons with the Grizzlies, he had averaged 13.3 points per game in his rookie season and he averaged 16.2 points per game in 1997. On July 8, 1997, Reeves was given a six-year, $61.8 million contract extension. Reeves' best season came in 1997-98, when averaged 16.3 points, 7.9 rebounds, 1.08 blocked shots per game, and scored a career-high 41 points against the Boston Celtics.