Bin Laden’s sons were injured in the gun battle that led to their capture, said reports.
Arrested were Saad and Hamza bin Laden.
Saad is believed to be closely tied to the operations of al-Qaida.
Saad, the eldest son, had been tipped by bin Laden to replace him. He is also on the American most-wanted terrorist list.
Zehri refused to identify which forces were involved in the operation.
“They were allied forces,” he said.
Rabat is at the extreme tip of south-western Afghanistan where the Afghan, Pakistan and Iran borders meet.
There was no confirmation of the arrests from the United States.