President Donald Trump confirmed on Thursday that the US had killed the leader of Al Qaeda in the Arabian Peninsula — days after the militant group claimed responsibility for a mass shooting at a US naval base.

The US “conducted a counterterrorism operation in Yemen that successfully eliminated Qassim Al Rimi, a founder and the leader of Al Qaeda in the Arabian Peninsula (AQAP),” Trump said in a White House statement.

AQAP claimed responsibility on Sunday for a December 6 shooting at US Naval Air Station Pensacola in Florida, in which a Saudi Air Force officer killed three American sailors.

The announcement came with Trump touting US resolve following the killings of Islamic State group leader Abu Bakr Al Baghdadi in October last year and top Iranian general Qasem Soleimani three months later.

The militant group has thrived in the chaos of years of civil war between Yemen's Saudi-backed government and rebels who control the capital.

“Under Rimi, AQAP committed unconscionable violence against civilians in Yemen and sought to conduct and inspire numerous attacks against the United States and our forces,” Trump said.

“His death further degrades AQAP and the global Al Qaeda movement, and it brings us closer to eliminating the threats these groups pose to our national security.”

'Eliminating terrorists'

Trump did not give any details about the circumstances or the timing of the operation.

But it follows the killing of Al Rimi's predecessor Nasir Al Wuhayshi in June 2015, as part of the US's long running drone campaign in Yemen.

The following year top regional AQAP emir Jalal Belaidi, alias Abu Hamza, was also killed in a drone strike in the war torn country.

Belaidi was responsible for multiple provinces in Yemen, the US State Department said after the killing.

It had offered a $5 million reward for information on Belaidi over his alleged involvement in plotting bomb attacks on Western diplomatic officials and facilities in the capital Sanaa in 2013.

“The United States, our interests, and our allies are safer as a result of his death,” Trump said of the operation.

“We will continue to protect the American people by tracking down and eliminating terrorists who seek to do us harm.”

In AQAP's Pensacola attack, eight people were wounded, including two responding sheriff's deputies, before police shot dead the assailant.

The FBI formally identified the attacker as Mohammed Alshamrani, 21, a second lieutenant in the Royal Saudi Air Force who was training in the US.

Saudis expelled

The SITE monitoring group said he had posted a short manifesto on Twitter prior to the attack that read: “I'm against evil, and America as a whole has turned into a nation of evil.”

“I hate you because every day you (are) supporting, funding and committing crimes not only against Muslims but also humanity.”

The Twitter account that posted the manifesto also condemned US support for Israel and included a quote from Al Qaeda's deceased leader Osama bin Laden.

Saudi Arabia's King Salman was quick to denounce the shooting as a “heinous crime.” Around 850 Saudis are among the 5,000 foreign military personnel being trained in the United States.

Last month, however, the US Justice Department said it would send home 21 Saudi military trainees after an investigation into the attack, with Attorney General Bill Barr calling it an “act of terrorism.”

Barr said 21 of Alshamrani's colleagues were being expelled from the base's flight school after the probe found many of them were in possession of extremist material and child pornography.

He added that the Saudi government had said it would review each case under its code of military justice and criminal code.