The visit took place on the sidelines of the United Nations General Assembly.
They discussed issues of mutual interests, regional and global developments.
President Hassan Rouhani has already met with top officials in Brazil, France, Italy, China, Japan, Senegal, Iraq, Bolivia, Ecuador and Turkey.
The meeting with the British premier had been set for Tuesday but due to the decision made by President Rouhani to cut short his New York visit, it was held on Monday.
President Rouhani decided to come back home soon to take part in the funeral procession of the Haj pilgrims.
Immediately after his delivering speech at the United Nations General Assembly and cancelling a number of meetings with top officials of world governments, President Rouhani is to leave New York for Tehran on Monday evening.
This is the first meeting between the two officials after reopening of Britain embassy in Tehran.
By IRNA
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