Masset, a 32-year-old who missed the last two seasons due to injuries, was one of four ejections in the game by home-plate umpire Jordan Baker, including manager Walt Weiss, bench coach Tom Runnells and Braves reliever David Carpenter, who was also fined. Carpenter went on the DL with a right biceps strain on Tuesday.
Masset didn't appeal the suspension, so he began serving it on Tuesday and will be eligible to return on Saturday.
Masset was suspended because each team was issued a warning after Carptenter hit Corey Dickerson an inning before, the MLB said. His teammates high-fived him as he left the field.
"That was kind of the way the game went," Masset said. "I don't have a whole lot of comment on it. We've already moved on.
"People want to talk about the high-fives and that, coming in the dugout. They were high-fiving me because I got two outs and we were winning the ballgame. I don't think it had anything to do with, 'Way to hit him,' or something like that. We played a great game that day."
Masset is 1-0 with a 4.00 ERA in 20 games this season, and is 17-14 with a 3.79 ERA in his seven MLB seasons with the Rangers, White Sox, Reds and Rockies.