"He couldn't have pitched better than that," Cox said. "That's one of the best games I've seen pitched, ever."
Jurrjens (8-3) allowed just three hits -- all singles -- and didn't allow a runner to reach second base. He turned it over to Mike Gonzalez for the ninth.
"All of his other ones have been on the great side," Cox said. "This is on the excellent side. His location was just perfect."
Teixeira also recognized that he was watching something special.
"JJ was awesome tonight," Teixeira said. "He was real close to throwing a no-hitter."
"He did a real good job of staying down in the zone," Teixeira continued. "He didn't go out there and try to strike everybody out. He was letting guys hit the ball and getting double-play balls, getting ground balls. They weren't hitting much hard."
Jurrjens walked one and struck out three. Fifteen of the 24 outs he recorded came on ground balls.
"The two-seamer was really working today," Jurrjens said. "I kept throwing it and throwing it and they kept hitting it into the ground."
Atlanta posted just its 12th road victory of the season, the lowest total in baseball, while Toronto was blanked for the sixth time this season and second time in seven games.
The 22-year-old rookie didn't allow another hit until the seventh, when third baseman Ruben Gotay dove to grab a sharp grounder by Alex Rios, but threw late to first. Vernon Wells bounced back to the mound for the third out.
"He didn't really make too many mistakes," Wells said. "He was living on the edges, living down in the zone. He did his job and kept us off balance."
Jurrjens, who won his fourth straight decision, leads major league rookies in victories and has not lost since May 12 at Pittsburgh, a span of nine starts.
Jurrjens has not allowed an earned run in his past three appearances.
"I wasn't trying to blow it by every batter," Jurrjens said. "I was just pitching to contact and trying to save some pitches because pitching in the American League is different. In the National League, you have the pitcher in there and you can mess around a little bit, but not in the American League."
Blue Jays right-hander Dustin McGowan (6-6) lost for just the second time in seven home starts this season, allowing four runs and eight hits in 7 1/3 innings.
Teixeira gave Atlanta a 2-0 lead in the first with his two-out homer to right. He pushed the lead to 3-0 in the third when he doubled home Gregor Blanco from first.
Atlanta added one more in the seventh when Brandon Jones tripled to left, then scored when Blanco singled over a drawn-in infield.
Managers Cito Gaston and Cox, who opposed one another in the 1992 World Series, squared off for the first time since Atlanta took two of three in an interleague series at Toronto in June 1997.
Minor league teammates with the Braves, Gaston later served as Cox's batting coach with the Blue Jays from 1982-85. He managed Toronto between 1989-97, and was rehired last Friday to replace the fired John Gibbons.
Cox left Toronto for Atlanta following the 1985 season and has managed the Braves since 1990.
Braves LF Jones made the defensive play of the game, diving to catch Stairs' sinking liner in the eighth. ... Braves 3B Chipper Jones (right quad) missed his sixth straight start, while INF Yunel Escobar (shoulder) and INF Omar Infante (hamstring) also sat out. With C Corky Miller the only position player available off the bench, manager Bobby Cox wanted everyone else ready. "All the pitchers are putting on spikes," Cox said before the game. "That's an order." ... Toronto optioned RHP Brian Wolfe to Triple-A Syracuse after the game and purchased the contract of LHP John Parrish. Parrish will start against the Braves on Saturday in place of RHP Shaun Marcum (right elbow).