Answer:
Highest Scoring NFL Game:
In the NFL, the most points scored in one game was 73 by the Chicago Bears in the 1940 NFL championship game against the Washington Redskins. That 73-0 shut-out is also the largest margin of victory in NFL history. In terms of regular season games, the Washington Redskins scored the most points in beating the New York Giants 72-41 in 1966.
Highlights:
Highest score by one team (during regular season): 72 points when the Washington Redskins beat the New York Giants 72-41 on November 27, 1966.
Highest score by one team (during playoffs): 73 points when the Chicago Bears beat the Washington Redskins 73-0 on December 8, 1940.
Highest scoring game (during regular season): 113 points when the Washington Redskins beat the New York Giants 72-41 on November 27, 1966.
Highest scoring game (during playoffs): 96 points when the Arizona Cardinals beat the Green Bay Packers 51-45 on January 10, 2010