The sister of the North Korean leader has warned against taking retaliatory measures against South Korea in the latest escalation of tension due to North Korean dissidents sending anti-Pyongyang propaganda materials across the border between the two countries.

"I feel the time has come to cut ties with the South Korean authorities. We will take the next step soon," said Kim Yoo-jung, condemning Seoul.

"By exercising the authority granted to me by the supreme leader, our party, and the state, I issued an order to the agency concerned with taking the next step decisively," said Kim Yoo Jung - who is a major adviser to her brother.

"The right to take the next step against the enemy will be given to the general corners of our army," she added. "It is imperative that we make them feel the consequences of what they have done," said the sister of the North Korean leader.

Kim did not provide details of the expected military move, but appeared to threaten to destroy the inter-Korean coordination office in the North Korean border city of Kaesong.

"Soon, the tragic scene of the North-South Joint Coordination Office will appear, and it is completely collapsed," said its statement to the North Korean News Agency, KCNA.

Kim's statement was the second wave of angry comments made by Pyeong on Saturday. Earlier in the day, North Korea condemned its neighbor for making "trivial" statements about the nuclear disarmament process and its attempt to "interfere" in the talks between Washington and Pyongyang.

Since last week, North Korea has issued a string of strongly worded condemnations against the South in the background of dissidents sending materials such as rice and anti-North Korean leaflets, through balloons across the heavily fortified border or in bottles across the sea.

Pyongyang has since mobilized several rallies against its southern neighbor, while the official North Korean News Agency described the release of the leaflets as a "pre-war attack".

As part of its efforts to improve relations with North Korea, South Korea has sought to stop the publications and rice campaign, and dissidents have complained of being pressured to stop criticizing North Korea.

Inter-Korean relations have been in trouble since the second US-North Korea summit in Hanoi in February last year collapsed after a row over the concessions Washington plans to make to Pyongyang in exchange for the latter taking nuclear disarmament measures.

Saturday's denunciations came a day after North Korea lashed out at the United States on the second anniversary of the historic summit that brought together US President Donald Trump and Kim Jong Un in Singapore.

The statement contained strong criticism of Washington, the most intense that Pyongyang has directed in recent months, and raises doubts about the future of the stalled nuclear negotiations.