Luster was born in Tahlequah, capital of the Cherokee Nation, the son of Otis V. and Callie (Bates) Luster. His father was a merchant and later a newspaper editor in Pauls Valley.
Luster's tenure as head coach at Oklahoma was complicated by World War II. In the six months after the attack on Pearl Harbor, nearly 60 Sooner athletes in all sports had enlisted in some branch of the armed services and more continued to enlist as the war progressed.[2] Luster resigned as head coach almost immediately after his Sooner team lost 47–0 to Oklahoma A&M on November 24, 1945. His official reason for his resignation was "poor health."[3]