On Sunday, Mr Trump became the first sitting US president to set foot in North Korea, accompanied by leader Kim Jong-un.
Mr Trump had earlier tweeted asking Mr Kim if he would like to meet while the US president was in South Korea.
On Monday, KCNA carried extensive coverage of the unprecedented meeting.
North Koreans rarely receive news of the outside world, and the heavily controlled media has depicted the US as its most hated enemy for decades.
Images of the US president walking into the North as a friend of Mr Kim will be an extraordinary sight for ordinary North Koreans.
Negotiations over North Korea's controversial nuclear programme have stalled since the second summit between the two leaders ended without an agreement in February.