The meeting was attended by the chairman of the forum, Governor Kashim Shettima of Borno State, Aminu Waziri Tambuwal, Sokoto State and Abdullahi Umar Ganduje (Kano State).
The closed-door meeting was held before President Buhari departed for New York for the 72nd Session of the United Nations General Assembly.
The governors were said to have briefed the President on the security situations in their states in view of the rising tension in the north over the alleged killings of some northerners in parts of the south east.
Shettima in a statement last week on behalf of the governors of the 19 northern states called on residents across the region to maintain the peace.
They had said they were aware of spill over concerns in Jos, Plateau State Capital and of the rapid step taken by Governor Simon Lalong who immediately declared a dusk-to-dawn curfew in the state.
The governors had also assured that their administrations had placed security forces on alert with a view to tackling any unforeseen attempt to cause a breach of security.