Strauss had occupied academic chairs and lecture positions, including one as the Lloyd Bentsen Chair at the Lyndon B. Johnson School of Public Affairs at The University of Texas. He was also the namesake of The Robert S. Strauss Center for International Security and Law at The University of Texas. He also had an interest in biomedical issues and had endowed two chairs at the University of Texas Southwestern Medical Center at Dallas: the Helen and Robert S. Strauss Professorship in Pediatric Neurology and the Helen and Robert S. Strauss Professorship in Urology.