Romo set the record on a touchdown strike to tight end Jason Witten down the middle of the field to give the Cowboys a 35-0 lead against the Indianapolis Colts. It was Romo's fourth touchdown pass of the game.
Romo needed 190 yards to pass Aikman, who had 32,942 yards in his career, entering the game.
Romo needed just 17 completions to pass Aikman, and his four scores went to four different pass-catchers: Terrance Williams (9 yards), Dez Bryant (19 yards), Cole Beasley (24 yards) and Witten (25 yards).
Romo is second to Aikman in pass attempts and completions but he now holds the record for yards and touchdowns. Aikman has 4,715 attempts and 2,898 completions.
Romo has had at least three touchdown passes in five of his past six games.
With the playoffs assured with a win against the Colts, Romo can take aim at delivering the Cowboys to a Super Bowl, which last happened with Aikman in 1995.