Lind, who is 18 for 40 his last 10 games, hit two-run shots in the second and fourth innings off Rangers starter Scott Feldman. It was Lind's first multi-homer game of his career.
Casey Janssen (2-2) gave up three runs, six hits and struck out six in 5 1-3 innings. The right-hander made his fourth start of the season after missing 2008 with a torn labrum.
Scott Downs got the final out in the eighth and pitched a scoreless ninth to earn his eighth save in nine chances.
Connecting you to your favorite North Texas sports teams as well as sports news around the globe.
Feldman (5-1) lost for the first time in nine starts this season. Feldman, who had won his three previous outings, allowed four runs and seven hits in six innings.
The first-place Rangers, who announced before the game that outfielder Josh Hamilton will undergo surgery Tuesday to repair a partial tear in an abdominal muscle and is expected to miss 4-6 weeks, lost for only the fourth time in their last 16 home games.
Scott Rolen and Marco Scutaro each had three hits for the Blue Jays, who had not won on the road since beating Oakland on May 10.
Janssen took a four-hit shutout into the sixth before Texas loaded the bases with no outs.
Marlon Byrd had an infield single and Nelson Cruz scored on a wild pitch to bring the Rangers within 4-2.
After the Blue Jays pulled Janssen, Jarrod Saltalamacchia hit an RBI single on the first pitch he saw from Jason Frasor to cut the lead to one run.
With Byrd on third, Elvis Andrus didn't make contact on a squeeze attempt. Catcher Rod Barajas made a diving tag on Byrd just before he dove into the bag.
Frasor then retired Andrus on a flyout to preserve Toronto's one-run lead in the sixth.
Frasor and Brandon League combined for 2 1-3 scoreless innings against Texas, which exercised its contract option to keep manager Ron Washington through 2010.
Lind's first homer gave the Blue Jays a 2-0 lead in the second.
Vernon Wells had a leadoff walk before Lind drove a 1-1 pitch from Feldman into the bullpen in right.
Wells walked again in the fourth and Lind made it 4-0 with his shot to left-center. Lind has 11 home runs this season.
Scutaro had an RBI single and Aaron Hill added a sacrifice fly in the ninth to widen Toronto's advantage to 6-3.
Notes:@ Rolen returned to the lineup after missing the previous two games because of a sore back. ... Rangers LHP Matt Harrison (shoulder) could return from the disabled list to start Thursday's game against Toronto. He threw in the bullpen Monday. If Harrison is not ready to return, LHP Derek Holland would start Thursday. ... Blue Jays 1B Lyle Overbay, who was named the American League Player of the Week on Monday, singled in the second to extend his hitting streak to 14 games.