North Korea said on Friday it was still open to talks with the US despite Donald Trump's threat of military action after cancelling their June 12 summit in Singapore.

Pyongyang described the US president's decision to pull the plug on the highly anticipated meeting as "extremely regrettable".

"The abrupt announcement of the cancellation of the meeting is unexpected for us and we cannot but find it extremely regrettable," Kim Kye Gwan, North Korea's First Vice Foreign Minister, said in a statement carried by the state-run KCNA news agency.

"We again state to the US our willingness to sit face-to-face at any time in any form to resolve the problem," Mr Kim added.

The US president said on Thursday the American military was “ready if necessary” to react with its allies should North Korea take any “foolish or reckless acts”.