Gholam-Ali Khoshrou made remarks in letter to UN Secretary General Antonio Guterres and the Security Council on Thursday.
"It is imperative for the international community to take necessary action to compel Saudi Arabia to stop its reckless sponsorship of terrorism and extremism in the region and across the globe," the Iranian diplomat said.
Khoshrou also expressed Tehran’s preparedness to hold dialogue with Saudi Arabia to promote regional peace despite "unlawful and inflammatory" remarks by the Saudi deputy crown prince, Mohammed bin Salman Al Saud, against Iran.
On Tuesday, Salman, who is also Saudi Arabia’s defense minister, ruled out ties with Iran after Tehran announced the possibility of de-escalation of tensions if Riyadh halted its war against Yemen.
"We have no desire, nor any interest, in an escalation of tension in our neighborhood," Khoshrou's letter read, adding, "We continue to stand ready for dialogue and accommodation to promote regional stability, combat destabilizing extremist violence and reject sectarian hatred."
"We hope Saudi Arabia will be persuaded to heed the call of reason," it added.
Saudi Arabia has been incessantly pounding Yemen since March 2015 . The Riyadh regime has, however, failed to reach its goals despite suffering great expense.
The military aggression has claimed the lives of more than 12,000 people, most of them civilians.