Moon was speaking during a one-day visit to Pyeongchang.
"We have secured a promise from President Trump to do his utmost to make the Pyeongchang Olympic Games safe, and more strongly, we have been given an assurance that the US will guarantee security during the Pyeongchang Winter Olympics," Moon told US broadcaster NBC, according to a script of the interview released by his Presidential Office Cheong Wa Dae.
Earlier this week, Moon told NBC News that joint military exercises with the US planned in February and March could be postponed if North Korea’s capital Pyongyang halted its nuclear and missile tests before Pyeongchang 2018.
The exercises, held every year, would otherwise be expected to clash with the Olympic Truce, due to last from before the start of the Olympic Games on February 9 until after the end of the Paralympics on March 18.
"First of all, the United Nations has passed a resolution to keep a truce during the Olympic Games, which was jointly proposed by the largest number of countries in history," Moon was reported as saying by the Yonhap news agency.
"In addition, we and the United States have agreed to closely work together and cooperate to make the Olympic Games safe.
"President Trump too has agreed to send a high-level delegation in case he himself cannot take part, and in China, President Xi Jinping has agreed to seriously consider taking part himself and also send a high-level delegation should he be unable to do so."
Last week, South Korea's Vice-Minister of Foreign Affairs Cho Hyun called on North Korea to participate at Pyeongchang 2018, which he says should be a Games "for peace".
Cho was speaking during a Ministerial Meeting at the United Nations Security Council in New York City.
He also urged North Korea to attend the Games, which are scheduled to conclude on February 25, "to seize the opportunity for dialogue". (Insidethegames.biz)