A slow start the next year resulted in Alexander being traded to the Atlanta Braves, who dealt him in turn to the contending Detroit Tigers midway through the 1987 season for a then unknown minor-leaguer named John Smoltz. The Tigers got more than they could have possibly hoped for in Alexander, who went 9–0 with a 1.53 ERA to propel the Tigers to the division title. However, he struggled again in the ALCS, going 0–2 with a 10.00 ERA, bringing his postseason totals to 0–5 with an 8.38 ERA. The following year, Alexander went 14–11 with a 4.32 ERA, earning his only All-Star appearance. In 1989, his performance declined (6-18, 4.44 ERA) in part due to pitching with a fractured jaw. He retired following the season. Although Alexander performed fairly well for the Tigers, the Braves ended up getting the better end of the trade in the long run; Smoltz would go on to pitch twenty years with the Braves and became a Hall of Famer.