Carrington Love scored 28 points, while Khalil Small and Charles Cooper had 18 apiece for Green Bay (13-8, 5-3 Horizon), which scored the first 14 points of the extra session.
The Phoenix led by four on Love's free throw with 14 seconds left, but with six seconds remaining Detroit's Anton Wilson nailed a 3-pointer from the corner, was fouled, and completed the 4-point play to force overtime.
Detroit trailed 51-39 at the break, but chipped away throughout the second half, finally tying the game at 87 on Paris Bass' layup with 2:16 to go.
The Titans (9-10, 3-5) were led by Chris Jenkins with 25 points. Bass scored 23 points with eight rebounds and Wilson finished with 17.