the patriots with 589
186
Wyoming scored 103
If you mean in one game, in Super Bowl 24 the 49ers scored 55 to the Broncos 10 for the most points scored by one team in the Super Bowl.
1973
1340
isiah thomas
The most points scored by a team in an NFL game was 73 by the Chicago Bears in the 1940 NFL Championship game. The Bears beat the Redskins 73-0.
1992 dream team
UCLA
1973
2010 = St George
John scored 61 points.