During the meeting in New York on Tuesday evening, Rouhani and Macron stressed the need for further efforts to boost Tehran-Paris cooperation in diverse economic, financial and energy fields.
They also emphasized that there is no obstacle in the way of deepening relations between the two countries.
The two presidents also underlined the importance of the 2015 nuclear deal between Iran and world powers known as the Joint Comprehensive Plan of Action (JCPOA) and called for efforts to save the deal following the US withdrawal from it.
Heading a high-ranking delegation, Rouhani arrived in New York on Sunday evening to participate in the annual meeting of the United Nations General Assembly.
Speaking to reporters at John F. Kennedy International Airport upon his arrival, Rouhani said he would have sideline meetings and interviews during the trip.
The president also said that the UNGA provides an opportunity for a better explication of the US breach of international regulations.
On May 8, US President Donald Trump pulled his country out of the JCPOA, which was achieved in Vienna in 2015 after years of negotiations among Iran and the Group 5+1 (Russia, China, the US, Britain, France and Germany).