Bourn was hitless in his previous 11 at-bats before leading off with a homer against the Reds. He followed that up with a double in his next at-bat, and added his second homer of the game in the eighth inning before the Braves fell, 4-3.
It was his first career two-homer game.
"It's always good to [hit two home runs], but all-and-all you want the victory," said Bourn. "I just happened to see the ball good, and I was able to get a hold of it."
With the three knocks Tuesday, Bourn led the Braves with 61 hits. It was his 19th multiple-hit game to go along with 13 stolen bases.
It's not a coincidence the Braves had managed just five runs combined in their previous three games entering Tuesday.
"It seems like if I'm going good our team is going good," said Bourn. "That's part of the process and you have to accept the responsibility. That's part of it and you can't shy away from it. You accept it and try to get going again."
Entering Tuesday, Bourn had also walked 16 times and his .368 on-base percentage was third among the Braves' starters behind only Martin Prado (.392) and Chipper Jones (.372).
"We go as he goes," said manager Fredi Gonzalez. "He gets on base, he's going to create some havoc on the basepath, and I think everybody else feeds off of that. He grabs a lot of attention of the pitcher, and I can tell you there are a number of times the pitcher makes a mistake to one of the next two guys because he's keeping an eye on him."