Rouhani said that the return of a historic monument dating back to 2,500 years ago, which was in the United States, was a great achievement of his visit to New York.
The Iranian president went to US to attend the United Nations General Assembly.
The news was announced by the head of Iran's Cultural Heritage, Handicrafts and Tourism Organization (ICHHTO) Ali Asghar Mounesan.
He said that the limestone sculpture was discovered last year at an auction house in New York and was handed back to Iran on the orders of a New York judge.
"We will deliver the invaluable artifact to ICHHTO to receive its special restorations and then be installed on the southern porch of Central Palace of Persepolis (its original place)," said the deputy head of ICHHTO Mohammad-Hassan Talebian.
On September 4, Iran's Ambassador to the United Nations Gholam-Ali Khoshroo received the ancient artifact, which depicts a Persian imperial guard holding a spear, in the US.
According to The New York Times, the Manhattan district attorney's office seized the eight-inch relief from the booth of London antiquities dealer Rupert Wace during the fair in October 2017.
Iran then presented legal documents pointing to the Iranian ownership of the work to the office, which stopped its sale, said Khoshroo, adding that it took the investigators 11 months to disprove the ownership allegations by the artifact's self-proclaimed owners.
The ruling on the Persian bas-relief was issued in late July. In court papers, the district attorney's office argued that no one can be a good-faith purchaser of a stolen work, according to The New York Times.