 Awrey was part of two Stanley Cup winning teams with the Bruins, in 1970 and 1972.He was also part of the Montreal Canadiens team that won the Stanley Cup in 1976, but did not play in any playoff games that season, and so does not have his name engraved on the cup for that year even though he qualified.In 1972, Awrey was named to Canada's team for the Summit Series, playing in two of the eight games.