Secretary of State Rex Tillerson said the United States was looking at ways to pressure North Korea over its nuclear programme as North Korean state media warned the Americans of a “super-mighty preemptive strike” and said don't “mess with us”.

US President Donald Trump has taken a hard line with North Korean leader Kim Jong-un, who has rebuffed admonitions from sole major ally China and proceeded with nuclear and missile programmes in defiance of UN Security Council sanctions.

Reclusive North Korea regularly threatens to destroy Japan, South Korea and the United States and has shown no let-up in its belligerence after a failed missile test on Sunday, a day after putting on a huge display of missiles at a parade in Pyongyang.

“We're reviewing all the status of North Korea, both in terms of state sponsorship of terrorism as well as the other ways in which we can bring pressure on the regime in Pyongyang to re-engage with us, but re-engage with us on a different footing than past talks have been held,” Tillerson told reporters in Washington on Wednesday.

US Vice President Mike Pence, on a tour of Asian allies, has said repeatedly the “era of strategic patience” with North Korea is over.

US House of Representatives Speaker Paul Ryan, on a visit to London, said the military option must be part of the pressure brought to bear.

“Allowing this dictator to have that kind of power is not something that civilised nations can allow to happen,” he said in reference to Kim.

Ryan said he was encouraged by the results of efforts to work with China to reduce tensions, but that it was unacceptable North Korea might be able to strike allies with nuclear weapons.

North and South Korea are technically still at war because their 1950-53 conflict ended in a truce, not a peace treaty.

South Korea's acting president, Hwang Kyo-ahn, at a meeting with top officials on Thursday, repeatedly called for the military and security ministries to maintain vigilance.

The defence ministry said US and South Korean air forces were conducting an annual training exercise, codenamed Max Thunder, until April 28. North Korea routinely labels such exercises preparations for invasion.

South Korean presidential candidates clashed on Wednesday night in a TV debate over the planned US-supplied Terminal High Altitude Area Defense (THAAD) anti-missile system, which has angered China. Frontrunner Moon Jae-in was criticised for leaving his options open before the May 9 election.

On Monday, Hwang and Pence reaffirmed their plans to go ahead with the THAAD, but the decision will be up to the next Korean president. For its part, China says the system's powerful radar is a threat to its security.

The North has warned of a nuclear strike against the United States if provoked. It has said it has developed a missile that can strike the mainland United States, but officials and experts believe it is some time away from mastering the necessary technology, including miniaturising a nuclear warhead.

The United States and Russia clashed at the United Nations on Wednesday over a US-drafted Security Council statement to condemn North Korea's latest failed ballistic missile test. Diplomats said China had agreed to the statement.

Such statements by the 15-member council have to be agreed by consensus.

Previous statements denouncing earlier missile launches “welcomed efforts by council members, as well as other states, to facilitate a peaceful and comprehensive solution through dialogue”. The latest draft statement dropped “through dialogue” and Russia requested it be included again.

“When we requested to restore the agreed language that was of political importance and expressed commitment to continue to work on the draft... the US delegation without providing any explanations cancelled the work on the draft,” the Russian UN mission said in a statement.

There has been some confusion over the whereabouts of a US aircraft carrier group after Trump said last week he had sent an “armada” as a warning to North Korea, even as the ships were still far from Korean waters.

The US military's Pacific Command explained that the USS Carl Vinson strike group first had to complete a shorter-than-planned period of training with Australia. It was now heading for the Western Pacific as ordered, it said.

China's influential Global Times newspaper, which is published by the People's Daily, the Communist Party's official paper, wondered whether the confusion was deliberate.

“The truth seems to be that the US military and president jointly created fake news and it is without doubt a rare scandal in US history, which will be bound to cripple Trump's and US dignity,” it said.

North Korea did not refer to the mix-up but said the United States and its allies “should not mess with us”.

In pictures: North Korea marks the Day of the Sun Show all 16 1 /16 In pictures: North Korea marks the Day of the Sun In pictures: North Korea marks the Day of the Sun North Korean women soldiers take part in a military parade in Pyongyang on 15 April AFP/Getty Images In pictures: North Korea marks the Day of the Sun A huge military parade in Pyongyang marks the 105th birth anniversary of Kim Il Sung, the country's late founder and grandfather of current ruler Kim Jong Un AP In pictures: North Korea marks the Day of the Sun North Korean leader Kim Jong-un waves during a military parade on 15 April 2017 AP In pictures: North Korea marks the Day of the Sun North Korean soldiers carry flags and a photo of Kim Il-sung during a military parade in Pyongyang on 15 April AP In pictures: North Korea marks the Day of the Sun Soldiers march across Kim Il Sung Square during a military parade on 15 April AP In pictures: North Korea marks the Day of the Sun What military experts say appears to be a North Korean KN-08 inter-continental ballistic missile is paraded across Kim Il Sung Square during a military parade on 15 April AP In pictures: North Korea marks the Day of the Sun Women wearing traditional Korean dress wave flowers and shout slogans as they pass Kim Jong-Un during a parade in Pyongyang on 15 April AFP/Getty Images In pictures: North Korea marks the Day of the Sun North Korean female soldiers march during a parade for the 'Day of the Sun' festival on Kim Il Sung Square in Pyongyang on 15 April EPA In pictures: North Korea marks the Day of the Sun Military vehicles carry missiles with characters reading 'Pukkuksong' during a military parade marking the 105th birth anniversary of Kim Il-sung in Pyongyang on 15 April 2017 EPA In pictures: North Korea marks the Day of the Sun Attendees carry sheets in the colours of North Korea's national flag during a military parade in Pyongyang on 15 April Reuters In pictures: North Korea marks the Day of the Sun A soldier salutes from atop an armoured vehicle during a military parade in Pyongyang on 15 April Reuters In pictures: North Korea marks the Day of the Sun A North Korean woman cries as she looks towards Kim Jong-un during a parade on 15 April AP In pictures: North Korea marks the Day of the Sun University students carry the national flag and two bronze statues of the late leaders Kim Il-sung and Kim Jong-il during a military parade on 15 April AP In pictures: North Korea marks the Day of the Sun Missiles are driven past Kim Jong-un and other high ranking officials during a military parade marking the Day of the Sun in Pyongyang on 15 April Reuters In pictures: North Korea marks the Day of the Sun North Korean leader Kim Jong-un waves from a balcony during a parade for the 'Day of the Sun' festival in Pyongyang on 15 April 2017 EPA In pictures: North Korea marks the Day of the Sun Missiles are driven past Kim Jong-un and other high ranking officials during a military parade marking the Day of the Sun in Pyongyang on 15 April Reuters

The Rodong Sinmun, the official newspaper of the North's ruling Workers' Party, did not mince its words.

“In the case of our super-mighty preemptive strike being launched, it will completely and immediately wipe out not only US imperialists' invasion forces in South Korea and its surrounding areas but the US mainland and reduce them to ashes,” it said.