When the American Basketball Association began play in 1967, Stembridge broadcast the Dallas Chaparrals games on radio. Stembridge continued as the team's announcer after it became the San Antonio Spurs and after the Spurs moved into the NBA after the ABA-NBA merger. Stembridge broadcast 1,252 consecutive Chaparrals/Spurs games and served as their announcer for fifteen years.
In 1973 Stembridge also became part of the broadcast team for the Texas Rangers baseball team. He gave up that role in 1974.
Stembridge later co-authored a book on the history of Kilgore, Texas.
His son, Terry Stembridge, Jr. is also a sportscaster, who was the Minnesota Vikings play by play announcer in 2001. Stembridge, Jr. was hired by Red McCombs, who Stembridge, Sr. worked for in San Antonio.