SEOUL, South Korea — North Korea’s leader, Kim Jong-un, said he wanted to rid the Korean Peninsula of nuclear weapons when he met with a special envoy from South Korea, the North’s official media reported on Thursday, and the two sides set Sept. 18-20 as the dates for a summit meeting between leaders of the two countries.

The envoy, Chung Eui-yong, South Korea’s national security adviser, met with Mr. Kim in Pyongyang on Wednesday in hopes of breaking the deadlock in the talks between the North and the United States over dismantling the North’s nuclear weapons program.

On Thursday, the North’s official Korean Central News Agency said that Mr. Kim reaffirmed his commitment to denuclearize North Korea. But it fell short of clarifying whether Mr. Kim was ready to take major steps toward denuclearizing his country, such as submitting a full inventory of nuclear weapons and fissile materials, that the Trump administration has insisted on.

“Noting that it is our fixed stance and his will to completely remove the danger of armed conflict and horror of war from the Korean Peninsula and turn it into the cradle of peace without nuclear weapons and free from nuclear threat, he said that the North and the South should further their efforts to realize the denuclearization of the Korean Peninsula,” the North Korean news agency said, referring to Mr. Kim.