Vice-foreign minister Kim Kye-gwan said Mr Trump's decision was "extremely regrettable" according to “BBC”.
President Trump blamed the North's "open hostility" for the cancellation.
The summit would have been the first time a sitting US president had met a North Korean leader.
The details of the meeting in Singapore on 12 June were unclear. But talks would have focused on ways of denuclearising the Korean peninsula and reducing tensions. A senior administration official in the US later gave further details، saying North Korea had shown "a profound lack of good faith".
There were a series of "broken promises" from Pyongyang، the official told reporters، including when the White House sent the deputy chief of staff to Singapore to meet North Korean diplomats ahead of the summit.
"The North Koreans didn't show up. They simply stood us up."
The official also said President Trump had "dictated every word" of his letter to Kim Jong-un.