Kim Jong Chol, a close aide of the North Korean leader, on Friday became the highest level figure from the secretive state to hold talks at the White House since a senior envoy visited former US President Bill Clinton in 2000.
The US President has wanted the meeting to pressure Pyongyang into giving up its nuclear weapons in return for relief from economic sanctions.
The leadership in South Korea is believed too regard nuclear weapons as crucial to its survival and has rejected unilaterally disarming.
But speaking to reporters on the White House lawn after the successful meeting with the travelling envoy, Mr Trump believes Kim is ready to drop his nuclear arsenal.
"I think it's probably going to be a very successful, ultimately a successful process.
"I look forward to the day when I can take the sanctions off of North Korea.”
But the US President warned that he expected a number of summits would be needed to iron out