Speaking to reporters, Trump said "it's too early to see" if the is true.
Trump and Kim met last week in Vietnam to negotiate on getting rid of North Korea's nuclear arsenal, but the summit broke up early with no progress.
Researchers say that rebuilding of the facility in question has been underway since the summit and may have started before the Vietnam meeting.
"This facility had been dormant since August 2018, indicating the current activity is deliberate and purposeful," researchers at the Washington-based Center for Strategic and International Studies (CSIS) said.
Donald Trump. Source: AAP
North Korean leader Kim Jong-un. Source: AP.
Researchers said that the activity may be intended to "demonstrate resolve in the face of US rejection" of the North's request for an easing of sanctions in return for some dismantlement of nuclear weapons infrastructure.
Kim had agreed to shutter the Sohae missile-testing site at a summit with the South's President Moon Jae-in in Pyongyang, as part of confidence-building measures, and satellite pictures in August had suggested workers were already dismantling an engine test stand at the facility.
A photo previously released by North Korea, said to be a missile launch. Source: AAP
But CSIS said building activity is now "evident" at the Sohae Satellite Launching Station, from where Pyongyang launched satellites in 2012 and 2016.
