Pompeo said North Korea had reaffirmed its commitment to give up its nuclear weapons and that progress had been made on arranging the return of remains of USA soldiers killed in the 1950-53 Korean War.
Trump made the comments in a series of early morning tweets after his highly criticized meeting with Russian President Vladimir Putin in Finland and his visit with North Atlantic Treaty Organisation countries.
U.S. -North Korea relations are "very good" and "the process is moving along", Trump added.
There was no comment from the Kremlin on Trump's announcement.
US President Donald Trump believes Vladimir Putin should be held responsible for alleged Russian meddling in the 2016 election after all - since he is the president of Russia, Trump told CBS. The leaders signed an agreement committing the U.S.to unspecified security guarantees in exchange for a denuclearized Korean Peninsula.
Trump caves to Putin
Petersburg Economic Forum was visited by 500 businessmen". "Yes, I did", Putin said, when asked if he wanted Trump to win. Intelligence officials publicly broke from the president's comments about Russian meddling in the 2016 campaign.
A day after the meeting, US Secretary of State Mike Pompeo said the bulk of North Korea's denuclearization should be completed by the end of Trump's term in 2020. The last face-to-face talks took place in the spring of 2009.
President TrumpDonald John TrumpTrump says he doesn't want to use "adversary" to describe Russia Comey urges Americans to vote for Democrats in midterms Roby wins Alabama GOP runoff, overcoming blowback from Trump criticism MORE said Tuesday that the US has no time limit for the agreement he signed with North Korean leader Kim Jong Un regarding denuclearization of the Korean Peninsula.
According to the DPAA, about 7,700 US troops are still listed as missing from the Korean War; about 5,300 of that total are believed to have fallen in North Korea.
The White House has hailed the summit between Kim and Trump in Singapore as a major breakthrough toward disarming the isolated, nuclear-armed North in exchange for easing of sanctions and other help with economic development.
Ryan Gaydos is an editor for Fox News.