But Pyongyang has been silent publicly since then about a summit, even as Kim visited Beijing last month in his first visit outside North Korea since assuming control of the country after his father, Kim Jong Il, died in 2011.
Mike Pompeo, CIA director who is nominated to assume the post of secretary of state, and his team had been working with their North Korean colleagues through intelligence channels to prepare the meeting, CNN reported.
Kim's reported remarks drew a mixed response from North Korea watchers in Seoul and Washington.
He delivered a report 'on the development of the recent situation on the Korean peninsula, ' including the separate summit with South Korea to be held later this month, it said.
Trump had accepted an invitation from Kim on behalf of South Korean delegates to the USA last month month.
There had been some suspicion that the meeting might not happen because North Korea still hasn't publicly announced Kim's offer to meet Trump.
"They've said so; we've said so", the president said.
The paper filled its front page with KCNA's report, along with pictures of Kim chairing the politburo meeting.
Speaking at a cabinet meeting on Monday, the U.S. President said that White House officials had been "in touch with North Korea", and that he planned to meet the DPRK leader in May or early June.
Either way, "denuclearization", in the sense that Kim means it, does not equate to what the United States has long sought on the Peninsula: the complete, verifiable, and irreversible denuclearization of North Korea.
"Kim Jong Un has been shifting from the military-dominated emergency system to a normal party-dominant system", said Professor Yang Moo-jin at the University of North Korean Studies.
North Korea has not broken its public silence on the proposed Trump-Kim summit, which US officials say is being planned for May.
Mongolia's capital Ulaanbaatar is also considered as one of the possible locations, the report added.