Young played for the Vancouver Canucks, Philadelphia Flyers, Pittsburgh Penguins and Tampa Bay Lightning in the National Hockey League. Young is the only hockey player to have won a Memorial Cup (in 1982 with the Kitchener Rangers), a Calder Cup (with the 1988 Hershey Bears), a Turner Cup (with the 1998 and 2000 Chicago Wolves), and a Stanley Cup (with the 1991 and 1992 Penguins). He also has 2 Robertson Cups with the Kitchener Rangers as Ontario Hockey League Champions in 1981 and 1982.