In 1972 came the World Hockey Association where Norm became the "original" Winnipeg Jet and starred, on a line with Bobby Hull and Christian Bordeleau. They were known as the luxury line. They each scored over 100 points and really lit it up. When it came time to hand out the trophy for the top point-getter at the Winnipeg Arena, Bobby Hull was insistent that Norm's name would be alongside his own, as they both had 103 points(Bobby Hull had more goals). The crowd erupted into a frenzy when they saw that Bobby Hull would share his glory with his linemate who had been setting him up all year. In the playoffs that year, Norm set a record that would never be broken in Jets franchise history; 13 goals and 15 assists for 28 points in 14 games edging out Bobby Hull for the playoff scoring lead.

The Winnipeg Jets were a formidable team back then and Norm was the Assistant Captain when they won their first of three Avco Cups in 1976. Following that Season, Norm and family were off to Switzerland to play and coach. After three great hockey seasons abroad and two Schweitzer Meister appearances, the Beaudin's headed back to Canada, culminating Norm's 19 year career as professional hockey player.