US President-elect Donald Trump has said it was a “great honour” to meet President Barack Obama for transition talks at the White House.
Mr Obama said he was “encouraged” by their “excellent” and “wide-ranging” conversation.
Mr Trump has questioned Mr Obama’s US citizenship and vowed to dismantle his legacy in the past.
During the campaign, Mr Obama called Mr Trump “uniquely unqualified” but later said he was “rooting” for him.
On Wednesday, thousands took to the streets of major US cities denouncing Mr Trump after his shock defeat of Hillary Clinton.
White House spokesman Josh Earnest has insisted Mr Obama is sincere about ensuring a smooth handover when he meets Mr Trump, though he added: “I’m not saying it’s going to be an easy meeting.”
Mr Trump flew from New York on his private jet and landed at Reagan National Airport, just outside the nation’s capital.
The president-elect broke from protocol and barred journalists from travelling with him to cover his first meeting with Mr Obama.
The two men are expected to appear together for the cameras in the Oval Office after a behind-closed-doors meeting.
The president-elect is being accompanied by his wife, Melania, who will have a meeting with First Lady Michelle Obama.