Before learning orthodontics, Graber served as a captain in the Dental Corps (United States Army) from 1941 to 1945 at Fort Bragg.
Graber founded the Kenilworth Research Foundation and was the director of the CE for the Greene Vardiman Black Institute since 1967.
Graber did research on craniofacial anomalies, cleft palate, cleft lip, temporomandibular joint anatomy and disturbances, orthopedic growth guidance of the dentofacial complex, and the use of magnetic force in orthodontics and dentofacial orthopedics.
The Grabler Seminar Room in the University of Illinois at Chicago College of Dentistry's Department of Orthodontics is named for him.
[6] Over his lifetime, Graber served on editorial boards of 15 journals, and was an honorary member of more than 20 international orthodontic associations.