Walter Arrington, 58, a General Services Administration official and retired Air Force lieutenant colonel, died of cancer Sunday at his home in Reston.

Col. Arrington, who was director of private property for GSA Region Three at the time of his death, ahd served 22 years in the Air Force. He was first assigned to the Tuskeegee Army Air Field in Alabama and later to the Strategic Air Command, where he served most of his career.

A talanted athlete, Col. Arrington won numerous awards for his ability in track and field, including the High School Jump Championship of America. He won numerous awards in a vareity of track and field events while a student at Michigan State University and later coached teams while in the service.

Col. Arrington is survived by his wife, Alice R., of the home; two daugters, Sandra Rich, of Dubai, United Arab Emirates, and Sonya Arrington, of Reston, a son, Wayne, of Reston; three brothers, Abe, of Arlington, James, of Manassas, and Ravello of Mount Vernon, N.Y.: six sisters, Mary Ann Williams, of Washington, Helen Westerfield, of Los Angeles, and Mrs. James Dixon, Bessie Arrington, Honey Pettigrew and Thelma Carpenter, all of Madison, Va., and two grandchildren.