During the meeting in Kuwait City, Zarif and Sheikh Sabah exchanged views about the latest developments in the region and ways to promote bilateral relations in diverse areas.
Zarif's tour of regional countries, which began on Sunday, aims to convey the message of friendship and strengthen regional collaborations, Deputy Foreign Minister for African and Middle Eastern Affairs Hossein Amir Abdollahian, who is accompanying the Iranian top diplomat said, Nasim News Agency reports.
He noted that Kuwait, Iraq and Qatar are Mr. Zarif's destinations in the first round of his tour of the neighboring and Persian Gulf countries.
Foreign Minister Zarif has plans to visit a number of other regional countries as well.
Zarif's travell to Kuwait comes following the conclusion of nuclear talks between Tehran and the Group 5+1 (Russia, China, the US, Britain, France and Germany).
Iran and the six powers on July 14 finalized the text of a lasting nuclear deal that would terminate all anti-Iran sanctions after taking effect.
The United Nations Security Council unanimously passed a resolution afterwards, endorsing the comprehensive accord.