The North Korean leader made the haughty statement after the ICBM was launched Tuesday, the Korean Central News Agency reported.
Pyongyang claims its newly developed rocket can carry 'large-sized and heavy nuclear warheads'.
But the U.S. quickly responded along with South Korea by conducting a joint ballistic missile drill.
South Korea says the response was 'intended as a strong warning against North Korean provocation.'
'Eighth U.S. Army and Republic of Korea (ROK) military personnel conducted a combined event exercising assets countering North Korea's destabilizing and unlawful actions on July 4,' a statement from US and South Koran officials reads.
'This exercise utilized the Army Tactical Missile System (ATACMS) and the Republic of Korea Hyunmoo Missile II, which fired missiles into territorial waters of South Korea along the East Coast.