The meeting, scheduled for Tuesday, is expected to focus on bilateral relations and international issues.
Rouhani is also scheduled to meet with French President Francois Hollande on Tuesday to discuss the crisis in Syria and Iran's nuclear energy program.
Later in the day, Rouhani will meet with Pakistani Prime Minister Mohammad Nawaz Sharif and Fijian Prime Minister Josaia Voreqe Bainimarama.
German Foreign Minister Guido Westerwelle will also meet with the Iranian president on Tuesday night.
Rouhani is to address the UN General Assembly later in the day.
On September 25, Rouhani is due to address the special session of the Nuclear Disarmament Conference as the current chairman of the Non-Aligned Movement (NAM).
He will also address foreign ministers of the NAM, which is an international organization with 120 member states. Nearly two-thirds of the member countries of the UN are also NAM members.
In addition, the Iranian president is expected to meet with world leaders, American scholars, US Muslim leaders, and a group of Iranian expatriates on the sidelines of the General Assembly session.
