Jurrjens (8-3) went eight innings, the longest outing of his major league career. He allowed the three hits while striking out three and walking only one.
Toronto did not put a runner in scoring position during the entire game.
Gonzalez finished things off with a perfect ninth in a non-save situation.
Teixeira hit his 15th homer of the season, a two-run shot in the first inning, and then drove in Gregor Blanco in the third with the 200th double of his career. Blanco singled in the final Atlanta run in the seventh.
All of the Braves' runs came off Dustin McGowan (6-6), who gave up eight hits in 7 1/3 innings. The Blue Jays lost for the ninth time in 12 games.
Jurrjens took a perfect game into the fifth before Matt Stairs reached on a single.
The series is a rematch of the 1992 World Series, won by Toronto. The managers for both teams are the same as they were 16 years ago -- Bobby Cox in Atlanta and Cito Gaston in his second stint with Toronto.