The highest-scoring game in NFL history was between the Washington Redskins and the New York Giants on November 27, 1966, with a combined score of 113 points. The Redskins won the game 72-41, which is also the highest-scoring game by a single team in NFL history. Here are some other notable high-scoring games:

• Highest-scoring Regular Season Game of the 21st Century: Cincinnati Bengals 58, Cleveland Browns 48; Nov. 28, 2004
• Most Points by One Team: Washington 72, New York Giants 41; Nov. 27, 1966
• Highest-scoring Super Bowl: Super Bowl 29 (XXIX), which took place on Jan. 29, 1995. The San Francisco 49ers beat the San Diego Chargers, 49-26

Its worth noting that the NFL has had a longer presence of high-scoring games in contrast to the NBA, which saw much higher scores after implementing a shot clock rule.