"If we develop any information about planning or imminent threats, obviously, we will act on this," he added.
Terming bin Laden's killing as a 'victory', Donilon said that the United States had taken an important step in bringing down his terrorist organization.
Donilon also said it was absolutely critical for Americans "to remain vigilant as we continue to press this organization," but added that America is trying to find the whereabouts of Ayman al-Zawahiri, long considered Al-Qaeda's number two.
Meanwhile, 17 suspected terrorists have been killed as the US military chiefs ramped up their mission to destroy the al-Qaeda following bin Laden's death in Pakistan.
The drone attacks were launched in Pakistan and Yemen based on information gleaned by the CIA from computers found at bin Laden's compound. (ANI)