[1/2] U.S. and North Korean national flags are seen at the Capella Hotel on Sentosa island in Singapore June 12, 2018.
The comments raise the stakes as each side steps up displays of military force in a standoff over the isolated country's nuclear weapons and ballistic missile programmes.
The KCNA report came after a U.S. soldier crossed the border into North Korea on Tuesday at a time of heightened tension between the two Koreas and the United States.
North Korea has yet to comment on the incident involving the U.S. soldier.
Last year, the reclusive state codified a new, expansive nuclear law declaring its status as a nuclear-armed state "irreversible".
Persons:
Jonathan Ernst, Kang Sun Nam, Ankit, Panda, Hyunsu Yim, Josh Smith, Bernadette Baum, Mike Harrison, Tom Hogue
Organizations:
North Korean, Capella, REUTERS, U.S, Nuclear Consultative, DPRK, Democratic People's, South Korea's Ministry of National Defense, USS, Korean, U.S ., Carnegie Endowment, International, South, Thomson
Locations:
Sentosa, Singapore, SEOUL, North Korea, South Korea, United States, Democratic People's Republic of Korea, Ohio, Busan, USS Kentucky, Korea, U.S, Washington