After graduating, Burke joined the US National Team for the 1950 World Championships, winning a silver medal. Burke retired following the 1950 season and, after a year off, returned to his alma mater to serve as the coach for the freshman team. He remained in that position until the NCAA ended the restriction for freshman on varsity teams, after which he became the goaltending coach for the varsity squad. He retired in 1993, after more than 45 years at Boston College.