Kim Jong-un has said his intercontinental missile test was a gift to "American ba******" on their independence day.
Korea Central News Agency, which is run by the state, quoted the North Korean leader as saying America "attempts to test our determination and ignores our warnings."
The agency also reported that the leader said it was good to send the country gifts so that it would not be bored.
Jong-un is also reported to have said his missile is "as handsome as a good-looking boy" and his country won't be negotiating with America unless it drops its hostile policy against North Korea and abandons its weapons programme.
The test has increased fears in the US as the country claimed the test was the last step in creating nuclear weapons which can hit any location on earth, The Telegraph said.
The test North Korea carried out on Tuesday (July 4) was confirmed by US Secretary of State Rex Tillerson, who called it "a new escalation of the threat to the world."
He also said the US would be looking at imposing stronger measures at the UN Security Council in order to hold North Korea to account.
Missiles have now been fired into South Korea waters by the US and South Korea, as a show of force.
The Pentagon has said it is ready to defend both America and its allies from the North Korean threat.
South Korea's defence minister Han Min-koo thinks there is "a high chance" another North Korean nuclear test will take place soon.