Delbert Ray Thompson (born February 21, 1958) is a former American football running back who played one season with the Kansas City Chiefs of the National Football League. He was drafted by the Kansas City Chiefs in the fifth round of the 1982 NFL Draft. He first enrolled at the University of Texas at Austin before transferring to Ranger College and lastly the University of Texas at El Paso. Thompson attended Hamlin High School in Hamlin, Texas. He was also a member of the New York Jets.