Temple led 36-31 at halftime, but the Minutemen emerged from intermission with wings on their backs, starting the second stanza with a 17-0 run.
Temple eventually took a 61-57 lead, but UMass outscored the Owls 20-10 over the final seven minutes.
En route to 20 points and 10 assists, Chaz Williams dominated the second half for UMass, continually finding his way into the paint to break down Temple's defense. Jesse Morgan led the Minutemen with 21 points.
Khalif Wyatt paced a balanced Temple attack with 15 points. Ramone Moore (14 points), Rahlir Hollis-Jefferson (13) and Juan Fernandez (12) joined Wyatt in double figures.