The state-run Korean Central News Agency (KCNA) said on Monday that North Korea's latest volley of missile tests were meant to mimic a nuclear strike on South Korea.
Tactical nuclear weapons are small, short-range weapons that can be used on the battlefield or in limited strikes.
The mock strikes were successful in hitting airports, ports and military bases.
The trials show the country's ability to "hit and wipe out" possible South Korean targets.
Kim oversaw the trials and the outlet published images of him.
Kim was said to have ordered the simulations in response to the drills.
Missiles are launched into the ocean by North Korea. The drills conducted in recent weeks drew condemnation from world leaders. In October, a missile flew over one of the islands in Japan, causing concern and prompting an order for people to leave the area. A rocket malfunctioned and crashed into a military base during a live-fire missile drill between the US and South Korea.
North Korea is expected to conduct a nuclear weapon test. Global sanctions and diplomacy won't be enough to get North Korea to disarm, according to experts. Recent missile tests show that the regime has been pursuing smaller warheads, which may be why North Korea last tested a nuclear bomb.
Some states have surrendered their nuclear weapons. South Africa developed the weapons of their own. After the fall of the Soviet Union, weapons were handed over to Russia by the other countries. Nine countries, including North Korea, are suspected of having nuclear weapons. According to the Federation of American Scientists, most of the businesses are owned by Russia and the U.S.
The country's pursuit of nuclear weapons is one of the main reasons for its continued isolation on the international stage. Despite years of heavy diplomacy and punishing sanctions, the regime insists nuclear weapons are necessary to protect its interests against the U.S. Lawmakers have the right to use nuclear weapons against enemies and to retaliate against North Korean leadership. Kim's rhetoric caused a lot of concern among world leaders and analysts who said the policies could raise the risk of catastrophic miscalculation.
Russia's Isolation Grows, as North Korea Denies Selling Weapons to Moscow.
The US is urged to abandon de nuclearisation.
What missiles does it possess? There is a radio station.