TOKYO — The leaders of North and South Korea will hold another summit in September, the governments announced Monday, as their peace process moves steadily forward despite signs of a growing impasse between Washington and Pyongyang.

South Korean President Moon Jae-in will travel to Pyongyang for the meeting, the third summit this year between Moon and North Korean leader Kim Jong Un.

It will be only the third time that a South Korean leader has traveled to the North Korean capital for such a meeting. While any visit by Moon to Pyongyang would be another propaganda coup for North Korea, it was unclear whether Moon would be in the capital during the country’s annual national day celebration Sept. 9.

North Korea will be commemorating the 70th anniversary of its founding as a communist state, and it has been trying to invite foreign dignitaries to the country for the occasion.

No sitting South Korean leader has attended the North Korean anniversary.

Kim Eui-keum, spokesman for South Korea’s presidential Blue House, told reporters that ‘‘early September seems a bit difficult.’’

Last week, the North’s Foreign Ministry accused Washington of telling other countries not to send high-level delegations to the celebrations in Pyongyang, which could include a large military parade.

In recent weeks, the Trump administration appears to have entered rougher waters in its attempts to persuade North Korea to denuclearize. But the two Koreas appear to be making more progress in their gradual rapprochement — even if the issue of North Korea’s denuclearization remains far from clear.

The summit announcement came after North and South Korean government officials held talks on the northern side of the border village of Panmunjom.

In remarks before the talks got underway, Ri Son Gwon, the leader of the North Korean delegation and chairman of the Committee for the Peaceful Reunification of the Country, said he hoped the planned summit would help give ‘‘concrete answers’’ to the problems people are facing.

Afterward, he said a date had been fixed but not announced, ‘‘to keep reporters wondering.’’

‘‘It is a different story than US-North Korea, which seems to have become bogged down,’’ said John Delury, an assistant professor at Yonsei University in Seoul. ‘‘The two Koreas are more in stride, and the process has ‘taken’ better.’’

That’s not to say that the peace process across the divided Korean Peninsula is smooth sailing.

On Sunday, a North Korean propaganda website blamed Seoul’s ‘‘blind obedience’’ to US-led sanctions for what it called the failure to make progress since Moon and Kim met on the border in a blaze of publicity in April.

‘‘It’s been more than 100 days since the April 27 Panmunjom Declaration was adopted, but no reasonable fruit or progress has been produced,’’ the website Uriminzokkiri wrote. ‘‘It is because of America’s sanctions and the South’s unfair participation in them.

Some South Korean reporters also pointed out a mismatch in the makeup of two delegations on Monday: North Korea brought officials in charge of railways, land and environmental protection, and economic cooperation to the talks, whereas the South Korean side was made up of officials from the Unification Ministry, national security office, and prime minister’s office.

But if that suggested differing priorities, the opening statements as the talks got underway Monday were all about friendship and rapprochement.

‘‘In a realistic sense, this is the major transformation in the inter-Korean relationship,’’ North Korea’s Ri said. ‘‘That we are meeting to exchange talks in such a friendly mood like right now, signifies that the communication is working.’’

In a joint statement afterward, the two sides said they had ‘‘reviewed the progress of implementing the Panmunjom Declaration, and discussed further methods to fulfill the Declaration in a sincere manner.’’

By contrast, Secretary of State Mike Pompeo seemed to come away empty-handed from a trip to Pyongyang following the June Singapore summit between President Trump and Kim, with North Korea blaming his ‘‘gangster-like mind-set.’’

Last week, North Korea’s Foreign Ministry also criticized ‘‘high-level officials’’ within the US administration for insisting that North Korea give up its nuclear weapons before sanctions are eased, and for making ‘‘desperate attempts at intensifying the international sanctions and pressure.’’

Those officials, the Foreign Ministry said, are ‘‘going against the intention of President Trump’’ to advance relations between the two countries.

But while the declaration that followed Trump’s meeting with Kim was widely criticized for being too vague, the Panmunjom Declaration reached between Moon and Kim was much more detailed, Delury said. The two sides also have more experience talking to each other from previous peace processes.