Yemeni security forces arrested Bandar al-Ghamadi following a request from Saudi Arabia, said a Yemeni official on Tuesday.
Suspected of being a member of al-Qaida, Al-Ghamadi will be handed over to Saudi authorities after being interrogated, said an unnamed official.
The Saudi newspaper Okaz earlier quoted al-Ghamadi’s father as saying he had been arrested in Yemen after fleeing there with his wife.
Saudi Arabia had published a list of 19 suspects wanted in connection to the triple bombings on 12 May blamed on al-Qaida.
Alleged mastermind Turki al-Dandani was killed by Saudi security forces in July, while a number of others have been killed or captured.
Riyadh has stepped up its crackdown on those allegedly planning attacks within the kingdom. There have been clashes between police and suspects, leading to casualties on both sides and the arrest of more than 200 suspects.
Riyadh and Sanaa have also boosted security cooperation and swapped fugitives under an extradition agreement between the two neighbours.