The Rev. Kevin Hannah said Cleveland police notified Terry's family of the identification Tuesday afternoon, The (Cleveland) Plain Dealer reported.
Terry, 18, had been last seen July 10 leaving East Clark Elementary School in Cleveland. Family and friends had spent the weekend passing out flyers with her name and photo.
Her body was found Friday in an East Cleveland garage.
Michael Madison, 35, of Cleveland has been charged in Terry's death and those of two other women, Shetisha Sheeley, 28, and Angela Deskins, 38, whose bodies were found nearby Saturday.
Madison remains in jail in lieu of $6 million bond on three counts of aggravated murder and three counts of kidnapping.