Mohammad Javad Zarif told Tasnim news agency that he sent a tweet saying: “Happy Rosh Hashana”.
In a Twitter exchange that followed, he also distanced himself from the Holocaust denials of former President Mahmoud Ahmadinejad.
Iran has a Jewish community of between 25,000 and 80,000 so the fact that Iranian leaders are congratulating Jews on the occasion of Rosh Hashana would not necessarily be controversial, say correspondents.
Background on Zarif:
Zarif was born on 7 January 1960 in Tehran. He studied international relations at San Francisco State University. He attended the Josef Korbel School of International Studies at the University of Denver and obtained a PhD in international law and policy.
In 2000, Zarif served as chairman of the Asian preparatory meeting of the World Conference on Racism and as the chairman of the United Nations Disarmament Commission.