F-35s can fly at speeds of 1,931km/h and are capable of carrying nuclear bombs and bunker busters.
Meanwhile, the F-22 can hit speeds of up to 2414km/h and are armed with Vulcan miniguns and Sidewinder missiles.
South Korea is a key US ally in the region and relies on US military assistance for security against the North. Troops from the two countries routinely train together, each time prompting outbursts from Pyongyang.
A spokesman for North Korea's Committee for the Peaceful Reunification of the Country said in the statement on Sunday that the goal of the training is to "totally destroy" North Korea, according to comments carried by North Korean state news agency KCNA.
"The US and South Korean puppet military warmongers should bear in mind that their escalating provocation and adding to crimes will only invite more terrible retaliation and precipitate their self-destruction," read the statement.
The warning comes a day after North Korea's foreign ministry warned that the US government is "begging" for a nuclear war.
Last week, North Korea launched a missile it claimed was capable of reaching the entire US mainland, raising new fears about the country's nuclear arsenal and prompting the island US state of Hawaii to sound its nuclear attack sirens for the first time since the Cold War.
It also comes as the US agency tasked with protecting the country from missile attacks is scouting the West Coast for places to deploy new antimissile defences, two Congressmen said on Saturday, as North Korea's missile tests raise concerns about how the United States would defend itself from an attack.
West Coast defences would likely include Terminal High Altitude Area Defense (THAAD) anti-ballistic missiles, similar to those deployed in South Korea to protect against a potential North Korean attack.
The accelerated pace of North Korea's ballistic missile testing program in 2017 and the likelihood the North Korean military could hit the US mainland with a nuclear payload in the next few years has raised the pressure on the United States government to build-up missile defences.
Congressman Mike Rogers, who sits on the House Armed Services Committee and chairs the Strategic Forces Subcommittee which oversees missile defence, said the Missile Defense Agency (MDA), was aiming to install extra defences at West Coast sites. The funding for the system does not appear in the 2018 defence budget plan indicating potential deployment is further off.
"It's just a matter of the location, and the MDA making a recommendation as to which site meets their criteria for location, but also the environmental impact," the Alabama Congressman and Republican told Reuters during an interview on the sidelines of the annual Reagan National Defense Forum in southern California.
When asked about the plan, MDA Deputy Director Rear Admiral Jon Hill said in a statement: "The Missile Defense Agency has received no tasking to site the Terminal High Altitude Air Defense System on the West Coast."
The MDA is a unit of the US Defense Department.
Congressman Rogers did not reveal the exact locations the agency is considering but said several sites are "competing" for the missile defence installations.
Rogers and Congressman Adam Smith, a Democrat representing the 9th District of Washington, said the government was considering installing the THAAD antimissile system made by aerospace giant Lockheed Martin Corp, at west coast sites.
The Congressmen said the number of sites that may ultimately be deployed had yet to be determined.
THAAD is a ground-based regional missile defence system designed to shoot down short-, medium- and intermediate-range ballistic missiles and takes only a matter of weeks to install.
In addition to the two THAAD systems deployed in South Korea and Guam in the Pacific, the U.S. has seven other THAAD systems. While some of the existing missiles are based in Fort Bliss, Texas, the system is highly mobile and current locations are not disclosed.
A Lockheed Martin representative declined to comment on specific THAAD deployments, but added that the company "is ready to support the Missile Defense Agency and the United States government in their ballistic missile defence efforts." He added that testing and deployment of assets is a government decision.
In July, the United States tested THAAD missile defences and shot down a simulated, incoming intermediate-range ballistic missile (IRBM). The successful test adds to the credibility of the U.S. military's missile defence program, which has come under intense scrutiny in recent years due in part to test delays and failures.
Currently, the continental United States is primarily shielded by the Ground-based Midcourse Defense system (GMD) in Alaska and California as well as the Aegis system deployed aboard US Navy ships. The THAAD system has a far higher testing success rate than the GMD.
The MDA told Congress in June that it planned to deliver 52 more THAAD interceptors to the U.S. Army between October 2017 and September 2018, bringing total deliveries to 210 since May 2011.
North Korea's latest missile test puts the US capital within range, but Pyongyang still needs to prove it has mastered critical missile technology, such as re-entry, terminal stage guidance and warhead activation, South Korea said.
- AAP