The coalition declined to reveal the name of al-Qaeda's top leader in Afghanistan "due to ongoing operations and security concerns."
The U.S.-led invasion of Afghanistan was carried out because al-Qaeda leader Osama bin Laden used the country as his base to plan the Sept. 11, 2001, attacks in New York and Washington.
Most of al-Qaeda's senior leaders are now believed to be based in Pakistan, where they fled after the U.S. invasion. The terrorist organization is believed to have only a nominal presence in Afghanistan.
Many senior al-Qaeda commanders have died in U.S. drone attacks in Pakistan's northwest tribal region, and bin Laden was killed by U.S. commandos in the Pakistani town of Abbottabad last May.
Bin Laden advised al-Qaeda militants to leave Pakistan's North and South Waziristan tribal areas because of the threat of drone attacks, according to letters seized from the compound where he was killed. The documents were later released by the United States.
In one of the letters, bin Laden recommended they go to Afghanistan's Kunar Province because of "its rougher terrain; too many mountains, rivers, and trees that can accommodate hundreds of brothers without being spotted by the enemy," according to the Combating Terrorism Center at West Point, which published the documents.
Elsewhere in Afghanistan, two would-be suicide bombers riding in a vehicle packed with explosives in eastern Nangarhar Province were killed when the vehicle exploded prematurely, said a local government official, Shakrulla. Three others in the vehicle were severely wounded. The explosion occurred on the main highway between Jalalabad city and Torkham, a town on the Pakistani border.