The North Korean leader makes the veiled threat just ahead of an annual war games conducted of the Korean Peninsula by the United States and South Korea.
The dictator calls the joint Seoul-Washington military exercises a "war rehearsal" to invade.
North Korea claims to have developed missiles that can reach the U.S. mainland.
Kim announces plans to launch another long-range rocket in a renewed effort to send a satellite into space.
Two days after the government announces the launch window is being pushed back because of technical issues, the rocket lifts off from the west coast of North Korea. Pyongyang declares the mission a success.
North Korea announces it is planning a new nuclear test and more long-range rocket launches, all of which it says are part of a new phase of confrontation with the United States.
The threats come two days after the U.N. Security Council approves the broadening of sanctions in response to the rocket launch in December that apparently put a satellite in orbit.