The 1971–72 Montana Grizzlies basketball team represented the University of Montana during the 1971–72 NCAA Division I men's basketball season.

Charter members of the Big Sky Conference, the Grizzlies were led by first-year head coach Jud Heathcote and played their home games on campus at Dahlberg Arena in Missoula, Montana.

They finished the regular season at 14–11, with a 7–7 conference record.

[1] The Big Sky conference tournament debuted four years later, in 1976.

Heathcote, an assistant at Washington State under Marv Harshman, was hired in March 1971.