DUBAI - Al Qaeda's Yemen branch has mocked tough new counter-terrorism measures adopted by neighbouring Saudi Arabia, saying they would not deter the militant group's fighters and that they proved the kingdom was in the pay of the United States.

In an online statement, Al Qaeda in the Arabian Peninsula (AQAP) also said Riyadh's designation of the Muslim Brotherhood - a group whose political wings have contested elections in several countries - as a terrorist organisation proved that secular authorities would never tolerate groups.

AQAP, seen as one of the most dangerous al Qaeda branches after it plotted attacks on international airliners, is thought to have several hundred Saudis fighting alongside Yemeni counterparts against the government in Sanaa.

On Feb 3, Saudi Arabia announced tougher punishments for Saudis seeking to join militant groups abroad and on March 7 the interior ministry designated a number of groups, including the Brotherhood, as terrorist organisations.

In the group's first public response to the measures, senior AQAP official Ibrahim al-Rubaysh said of the Saudi authorities in an audio tape posted online: "Their employers are the White House." He added that Riyadh appeared to consider the US authorities as "gods."

Addressing pro-government Muslim preachers in Saudi Arabia, Rubaysh said: "You are more American than the Americans themselves."

Under the new measures, Saudi Arabia will jail for up to 20 years any citizen who fights in conflicts abroad - an apparent move to deter Saudis from joining rebels in Syria and then posing a security risk once they return home.

Riyadh fears returning fighters will target the ruling Al Saud royal family - as happened after the wars in Afghanistan and Iraq.

An appeal contained in the counter-terrorism measures for fighters to turn themselves in had not been answered, Rubaysh said, adding that this showed "there is no weight on the hearts of the mujahideen (holy warriors)".

Saudi authorities also fear the Muslim Brotherhood, whose doctrines challenge the Saudi principle of dynastic rule, has tried to build support inside the kingdom since the Arab Spring revolutions.

In Egypt, the Brotherhood, which won every election after the toppling of veteran leader Hosni Mubarak in 2011, has been driven underground since the army deposed President Mohamed Mursi, a member of the group which also suffered repression in the Mubarak era.

Rubaysh said the listing of the Brotherhood as a terrorist group sent "a message for all groups who are softening their processes and abandoning some of their principles" that they would never be accepted by the "heads of disbelief".