File photo provided by Korean Central News Agency (KCNA) on July 10, 2018 shows Kim Jong Un (C), top leader of the Democratic People's Republic of Korea (DPRK), inspecting a construction site at Samjiyon County of DPRK's northern Mount Paektu region. (Xinhua/KCNA)

WASHINGTON, Sept. 6 (Xinhua) -- The U.S. State Department said here on Thursday that special representative for the Democratic People's Republic of Korea (DPRK) issue, Stephen Biegun, will travel to the capital cities of South Korea, China and Japan on Sept. 10-15 to discuss the denuclearization of the DPRK.

Biegun "will meet with his counterparts and continue diplomatic efforts to achieve the final, fully verified denuclearization of North Korea as agreed to by Chairman Kim in Singapore," the State Department said in a statement.

The current DPRK-U.S. talks have been stuck in an impasse due to their differences in the scale of denuclearization, U.S. sanctions, and whether to issue a war-ending declaration.

The State Department said last month that the denuclearization of the Korean Peninsula shall happen before the United States signs a war-ending declaration with the DPRK; while the DPRK has argued that such a document is the first step towards peace on the peninsula, whereas Washington has said it is too early to discuss the topic.

U.S. media reported earlier that the signing of a joint declaration to formally end the Korean War was one of the verbal agreements between U.S. President Donald Trump and the DPRK's top leader, Kim Jong Un, when they met on June 12 in Singapore.

Kim told South Korea's envoy on Wednesday that he firmly supports and will be devoted to completely removing the danger of armed conflicts and the horrors of war from the Korean Peninsula and turning it into a cradle of peace without nuclear weapons and free from any nuclear threat.

Trump tweeted later on Thursday in response, thanking Kim for making such a statement and noting that "we will get it done together," referring to the denuclearization of the Korean Peninsula.

At the conclusion of the historic Trump-Kim summit in June, the two sides issued a joint statement, in which they agreed to improve bilateral relations and work together to build a lasting and stable peace regime on the peninsula.