Strudwick's professional career in the National Hockey League (NHL) began when he was selected in the third round of the 1994 NHL Entry Draft by the New York Islanders. He made his NHL debut during the 1995-1996 season with the Islanders, quickly establishing himself as a hardworking and reliable defenseman known for his physical play and defensive capabilities. Throughout his career, he demonstrated his versatility by playing for multiple NHL teams, including the Vancouver Canucks, the Chicago Blackhawks, the New York Rangers, and the Edmonton Oilers.