In response, the United States and South Korea have expanded their bilateral military exercises and trilateral training involving Japan.
North Korea has lashed out at those drills, calling them rehearsals to invade the country.
North Korea hasn't directly responded to Trump's recent overture, as it continues weapons testing activities and hostile rhetoric against the U.S.
In South Korea, some worry that Trump might abandon the international community's long-running goal of achieving a complete denuclearization of North Korea to produce a diplomatic achievement.
The statement said the U.S. and Japan also affirmed the importance of the Japan-U.S.-South Korean trilateral partnership in responding to North Korea.

North Korea slams US-South Korea-Japan partnership, vows to boost nuclear program