It comes a day before North Korean leader Kim Jong-un holds historic talks with US President Donald Trump.
The comments are a marked shift in tone from the isolated country after decades of animosity towards the US.
Both leaders arrived in Singapore on Sunday evening. Mr Trump has said he has a "good feeling" about their much-anticipated summit.
He tweeted on Monday morning that there was "excitement in the air" in Singapore.
Great to be in Singapore, excitement in the air!— Donald J. Trump (@realDonaldTrump) June 11, 2018
The US president, who flew in on board Air Force One, hopes the summit will kick-start a process that eventually sees Mr Kim give up nuclear weapons.
They are staying in separate hotels, not far from each other, and will meet on Tuesday at a hotel on Sentosa, a popular tourist island a few hundred metres off the Singapore mainland.
Kim Jong-un arrived in Singapore ahead of US President Donald Trump
South Korea's Yonhap news agency reported that senior diplomats from both countries were meeting on Monday to try to draft an agreement to present to their leaders.
North Korea's state media does not usually report on the leader's activities in real time, and the summit has only had a passing mention so far.
But the editorial in Rodong Sinmun confirmed that Mr Kim had travelled to Singapore to meet Mr Trump and that "we will establish a new relationship to meet the changing demands of the new era".
(Footage : RUPTLY)