He said that an “all-out war” would result if the US took military action, BBC reported.
“If the US is planning a military attack against us, we will react with a nuclear pre-emptive strike by our own style and method,” Han told BBC.
Earlier, US Vice President Mike Pence warned North Korea not to test the US, adding his country’s “era of strategic patience” with Pyongyang was over.
“Just in the past two weeks, the world witnessed the strength and resolve of our new President in actions taken in Syria and Afghanistan,” Pence said.
“North Korea would do well not to test his resolve or the strength of the armed forces of the United States in this region.”
Pence arrived in Seoul on Sunday hours after North Korea carried out a failed missile launch.
Tensions have been escalating on the peninsula, with heated rhetoric from both North Korea and the US.
North Korea has accelerated its nuclear and missile tests in recent years, despite international condemnation and UN sanctions.
Its aim is to be able to put a nuclear warhead on an intercontinental ballistic missile that can reach targets around the world, including the US.
US President Donald Trump has said that will not happen, and stepped up pressure on the isolated North.
He has sent a navy strike group towards the Korean Peninsula, and the US and South Korea are moving ahead with the early deployment of a controversial missile defence system.
Despite the tension, North Korea may carry out a sixth nuclear test soon, observers say. It test-fired a missile on Sunday that exploded within seconds of launch, following a grand military parade on Saturday.
Han told the BBC that North Korea believed its nuclear weapons “protect” it from the threat of US military action.
The North casts the US as the aggressor.
At a news conference at the UN on Monday, North Korea’s permanent representative Ambassador Kim In-ryong, condemned the US missile strikes in Syria, which targeted an air base after a suspected chemical attack by the government.
He said the US was “disturbing global peace and stability and insisting on the gangster-like logic that its invasion of a sovereign state is decisive and just and proportionate and contributes to defending the international order”.
China has reiterated its call for North Korea to stop all tests, and has also called for a peaceful solution.
Chinese Foreign Ministry spokesman Lu Kang told reporters in Beijing on Monday that the Korean peninsula was “highly sensitive, complicated and high risk” and that all sides should “avoid taking provocative actions that pour oil on the fire”.
Russia’s Foreign Minister Sergei Lavrov said Moscow would not tolerate “missile adventures by Pyongyang” but a unilateral use of power by the US would be “a very risky course”.
Japanese Prime Minister Shinzo Abe on Monday told a parliamentary session that diplomatic efforts were “important to maintain peace”, but “dialogue for the sake of having dialogue is meaningless”.
He added that Japan needed to apply pressure on Pyongyang to “seriously respond to a dialogue” with the international community.