That would be the 1940 NFL Championship game when the Chicago Bears defeated the Washington Redskins 73-0.
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Click on the 'NFL Scoring Leaders by Season' and 'NFL Touchdown Leaders by Season' links below to see the players that led the NFL in scoring and touchdowns in each NFL season.
NFC-FR: Philadelphia (58) vs. Detroit (37), 1995 http://www.nfl.com/superbowl/records/playoffs/team/scoring
5 million ANSWER: The Bears beat the Redskins 73-0 in the 1940 NFL Championship Game. The most points in a regular-season game was 72, by the Redskins in 1966 against the Giants (who scored 41).
The highest combined scoring game in history was between The Washington Redskins and the New York Giants. They combined for a total of 113 points in one game on November 27, 1966