The hockey team which has scored the most goals in a single game is the Montreal Canadians. They scored sixteen goals against the Quebec Bulldogs in 1920.
The most goals scored in a single hockey game by a player was 7 goals. This record is held by Joe Malone. He scored 7 goals on January 31st 1920 while playing for the Hamilton tigers.
In the 08/09 season an average of 4.34 goals were scored each game
Joe Malone scored 7 goals in one game Jan 31/1920 An 11 year old girl #55 on the Wallingford Hawks scored 7 goals in the chamionship game during the Vermont Tournament in 2011.
The most goals scored in a hockey ranks up to a 16-3 win for the Montreal Canadiens against the Quebec Bulldogs ( Quebec dos not have a NHL hockey team) on March the 3rd 1920
MANY MANY players have scored 3 goals in a game. It's called a "hat trick."
Joe Malone (7)
A hat trick
Alexander Ovechcin(2006 6 goals)