The announcement came after Trump met for more than 1 1/2 hours in the Oval Office with Kim Yong Chol, the vice-chairman of North Korea's Central Committee, who delivered a personal letter from Kim Jong Un.
Meanwhile, President Trump will also meet Japan's Prime Minister Shinzo Abe in Washington on June 7.
Kim Yong-chol is among the most senior officials in North Korea, a rank for which he was previously blacklisted by the US.
An advance team, led by deputy chief of staff Joe Hagin, has held meetings with the North Korean team in Singapore this week.
"We're not going to go in and sign something on June 12". Secretary of State Mike Pompeo, who met with Kim Yong Chol in NY on Thursday, was also visible in the meeting through a window in images captured by television cameras. Trump and Pompeo have both promised North Korea a bright and prosperous future should the communist regime agree to abandon nuclear weapons.
Secretary of State Mike Pompeo concluded talks with senior North Korean official Kim Yong-chol on Friday morning (AEST), saying "good progress" was made as they sought to salvage the proposed historic summit between their leaders.
USA officials learned of the letter's substance through diplomatic channels in the absence of reading the letter itself, the person said. The days since have seen a flurry of diplomatic efforts to get the summit back on track.
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US President Donald Trump with North Korea's envoy, former military intelligence chief Kim Yong Chol.
The envoy, Gen Kim Yong-chol, hand-delivered a letter from the North Korean leader to President Trump.
"And I think it's probably going to be a very successful - ultimately, a successful process". "We're going to continue to shoot for June 12th". "But I see over a period of time", Trump said.
Afterwards, Trump and US Secretary of State Mike Pompeo walked the North's small delegation to their waiting cars, smiling and shaking hands in front of the media before the motorcade pulled away. I think China - I think, frankly, China will help out.
Despite the upbeat messaging in the United States, Kim Jong Un, in a meeting with Russia's foreign minister on Thursday, complained about the US trying to spread its influence in the region, a comment that may complicate the summit.
Trump had called off the summit late last month, citing North Korea's "tremendous anger and open hostility".