After the two sides battled to a scoreless draw in regulation, Bowden scored on Canada's only shot of overtime.
"Nothing is bigger than scoring and beating a team 1-0 in overtime," said Bowden.
But the Canadians certainly controlled the play, outshooting Norway by a lopsided 24-9 margin, but needed the extra session to finally beat Norwegian goaltender Roger Johansen.
It marked the second straight game that Canada needed overtime to beat Norway. Bowden came down the left side and beat Johansen with a shot high to the Norwegian's glove side for his third goal of the tournament. Afterwards, Bowden was named the Canadian team's player of the game.
Canadian goalie Paul Rosen registered the shutout. And while he only faced nine shots, Rosen played a pivotal role in the winning goal.
It was Rosen's nice blocker save on a Norwegian scoring chance in overtime that set up Canada's odd-man rush and led to Bowden's winning goal.
The victory was small consolation for Rosen, who learned an hour before leaving for the arena that his mother-in-law had died. He contemplated returning early, but was encouraged by his wife to play the game.
"I was torn, whether to leave or not," said Rosen. "But they wanted me to stay . . . It meant a lot.
"This was definitely in her memory."