Beyme then became a Full Professor at the Eberhard Karl University in Tübingen (1967–1973) and in 1971 was also Rector of this University for a short time.
Anschließend war Beyme ordentlicher Professor an der Eberhard Karls Universität Tübingen (1967–1973), 1971 auch kurzzeitig Rektor dieser Universität.