Jackson went 4 for 5 with a walk and scored four times as the Tigers pounded out 16 hits while playing without achy slugger Miguel Cabrera.
Torii Hunter had three RBIs and Prince Fielder drove in a pair of runs as the Tigers won for the ninth time in 11 meetings with Toronto.
Verlander (9-5) allowed three hits, all singles, while winning for the first time since June 7 at Cleveland. It was his first start in Toronto since he pitched his second career no-hitter on May 7, 2011.
This time, he retired his first 11 batters before Edwin Encarnacion's two-out single in the fourth.
Phil Coke pitched the eighth and Darin Downs yielded an RBI single to Maicer Izturis in the ninth.
The Blue Jays lost for the eighth time in 11 games since matching a franchise record with an 11-game winning streak.
Cabrera was held out of the lineup with a sore back. It was the first day off this season for Cabrera, the reigning AL Triple Crown winner who leads the major leagues with a .364 batting average. He also has 26 homers and a major league-leading 85 RBIs.
Cabrera has been bothered by back soreness for the past two days, leaving in the ninth inning each game. Thursday marked Detroit's seventh straight game on artificial turf.
Also out for Detroit was second baseman Omar Infante.
The Tigers jumped all over Esmil Rogers in the first inning. Jackson singled on the first pitch of the game and scored two pitches later on a double by Andy Dirks. One out later, Fielder drove in Dirks with an RBI single.
Detroit got two more in the third on RBI doubles by Hunter and Jhonny Peralta, and then chased Rogers (3-4) in a three-run sixth.
Neil Wagner came on after Rogers gave up three straight hits to start the inning, including an RBI single by Jackson. Hunter hit a sacrifice fly and Fielder drove in a run with an infield single.
Rogers allowed season worsts of seven runs and 11 hits. He walked two and struck out four.
Jackson connected against Wagner in the eighth, hitting a drive to center for his fifth homer.
NOTES: Encarnacion returned to the lineup after missing three games with a sore left hamstring. ... Toronto SS Jose Reyes left after eight innings. ... Verlander had a career-worst five straight winless starts in 2008. ... Blue Jays 3B Brett Lawrie (left ankle) played his first rehab game with Class-A Lansing. He went 0 for 3 before leaving after six innings.