Prior to playing pro hockey, Redmond played junior hockey in the BCJHL. He became an all-WCHA defenceman at the University of Denver as a 17 year old freshman where he set an all-time school season points record for a defenceman in 1983, and then played for the Canadian Olympic Team in 1984. Redmond was traded to the Edmonton Oilers in 1988 but had a poor season in 1988-89, He then retired. He made a comeback in 1995-96 which lasted only one season. He is a part of the famous Redmond family in hockey including Mickey Redmond, and Dick Redmond.