Before playing in the NHL, Conacher played 3 seasons with the Galt Black Hawks of the Ontario Hockey Association (OHA). He then played for the Chicago Black Hawks of the National Hockey League (NHL). He played 2 games with them before being sent down to their AHL-affiliate team, the St. Louis Flyers. He played 29 games with them before he was called back up to play for the Black Hawks. He would play parts of 3 seasons with the Black Hawks.