Dinur was twice a recipient of the Israel Prize, which was established at his initiative when he was Minister of Education: in 1958 for Jewish studies; and in 1973 for education.
Zweimal erhielt er den von ihm selbst angeregten, 1953 gestifteten Israel-Preis: 1958 in der Kategorie Jüdische Studien und 1973 in der Kategorie Bildung.