Instead, he told them to give him time to decide on the matter.
The governors met him at the First Lady Wing of the presidential villa, Abuja in a meeting which lasted for about an hour and a half.
Chairman of APC Governors Forum and Governor of Imo state, Rochas Okorocha, briefed State House correspondents after the meeting.
He said: “We discussed so many issues that affect the nations, our party and Mr President’s ambition to run for 2019 elections.
“It is the desire of the governors that Mr President should run for this exalted office given his performance in the last two years. We believe that if he continues Nigeria will be better for it.
“Anyway, Mr President in his usual manner has requested that we give him time and that he will address the nation’s and the caucus of the party very soon. So we should be full of expectations that Mr President will make officially known to Nigerians his intentions, but we hope that his response will be in line with what the governors are thinking.”