Guterres spoke by telephone with Deputy Ambassador Kim In Ryong on Tuesday, the North Korean mission to the United Nations said in a statement on Thursday.
"North Korea must at least end additional provocations to create the mood for dialogue".
North Korea is a useful buffer state for China between it and U.S. forces based in South Korea, and also across the sea in Japan.
China, North Korea's main ally and trading partner, has urged the United States and South Korea to scrap the drills in exchange for North Korea calling a halt to its weapons programmes.
North Korea's two tests of an intercontinental ballistic missile (ICBM) last month likely carried a payload lighter than any nuclear warhead it is now able to produce, the experts said.
North Korea's missile program is banned by United Nations resolutions.
Moon sees the North as unlikely to follow through on threats to fire missiles toward Guam but believes it could conduct a sixth nuclear test on its founding day of September 9 or another time to protest United Nations sanctions.More news: Operativo policial en marcha tras los atentados en España
The U.S. and South Korea on Monday began 10 days of large-scale joint military exercises, but with a reduced number of troops and assets than had participated a year ago.
However, chief White House strategist Steve Bannon said there was "no military solution" to North Korea's nuclear threats because of the North's massed artillery targeting the South Korean capital. While there were "glimmers of hope" that nonmilitary pressure would make a difference, Pence said that the United States would "simply not permit" Pyongyang "to possess useable nuclear weapons that can reach a continental United States".
The United States has about 28,000 troops in South Korea.
American and South Korean forces have based their joint drills on Operations Plan 5015, which includes a pre-emptive strike on nuclear and missile facilities of the North, according to the South's Yonhap News Agency. "And the North won't be able to endure it", he said, "I want to warn the North that it must stop this unsafe brinkmanship".
"Our effort is to cause them to want to engage in talks but engage in talks with an understanding that these talks will lead to a different conclusion than talks of the past", he said.
"In close collaboration with our allies, there are strong military consequences if DPRK initiates hostilities", Mattis said, referring to an abbreviation of the North's official name, the Democratic People's Republic of Korea. Some 17,500 American troops will participate, down from 25,000 a year ago along with 50,000 South Koreans.
It's an annual joint drill between American and South Korean forces, but this year, it comes following a bitter back-and-forth between North Korea and U.S. President Donald Trump.
Previously, Japanese industrial circles have had the same stance as the government's official view that the requisitioned worker issue "had already been resolved", a senior Keidanren official said.
The two sides are at an uneasy truce in the war of words after the North said its leader Kim Jong-un has ordered his armed forces to hold off on the Guam attack scheme and see how the US acts.