Gallup Korea began asking South Koreans the question in 1992, and the percentage of respondents this time who thought the North would not start a war was the second highest since then.
In response to the sixth nuclear test on September 3, the United States and its allies are trying to have the UN Security Council endorse a new resolution toughening sanctions on North Korea.
The decision came three days after the communist North staged its latest and possibly most powerful nuclear test so far on Sunday.
Celebrating its founding anniversary, a front-page editorial of the Saturday edition of North Korea's official Rodong Sinmun said the country should make "more high-tech Juche weapons to continuously bring about big historical events such as a miraculous victory of July 28.".
Seoul has hardened its stance against Pyongyang after its torrent of arms tests, the latest on Sunday being a detonation of what North Korea said was a thermonuclear weapon built for missiles capable of reaching the USA mainland.
Harvey's wrath sends gas prices soaring in Central Florida
In Michigan, prices have gone up 8 cents since last Tuesday - to an average of $2.62 cents a gallon, according to GasBuddy. In addition, Colonial Pipeline expected to fully restore operations to Line 1 of its gasoline supply line on Tuesday.
Tension on the Korean Peninsula has escalated as North Korea's leader, Kim Jong Un, has stepped up the development of weapons, testing a string of missiles this year, including one flying over Japan.
In a television program earlier Sunday, Onodera said he expects the next provocative action by North Korea to be a test launch of an intercontinental ballistic missile.
"I would prefer not going the route of the military, but it's something certainly that could happen", Trump said at a press conference.
Mr Moon and Mr Abe agreed to co-operate on seeking tougher United Nations sanctions against North Korea and pledged to strengthen efforts to persuade Beijing and Moscow to cut off oil supplies to the North, said Mr Moon's press secretary. "Is it inevitable? Nothing is inevitable", said Mr Trump.
The United States has already banned Americans from traveling to North Korea following the death of Otto Warmbier, a 22-year-old college student from OH who was released from North Korea in June in a coma after being detained there for more than a year.