Duguay was selected by the New York Rangers with the 13th pick of the 1977 NHL Entry Draft and quickly made an impression by scoring 20 goals in his rookie year. In 1981-1982 season, Duguay recorded a career-high 40 goals and was selected to play in the NHL All-Star Game. Duguay played 12 years in the NHL with the Rangers, Red Wings, Penguins and Kings, totaling 864 career games, 274 goals and 346 assists for 620 points
After retiring in 1989, Duguay divided his time between coaching a minor-league hockey team, the Jacksonville Barracudas, and working for the Rangers front office in community and corporate relations.