Pakistani security officials based in North Waziristan said they were aware of the death of a senior al Qaeda commander but could not confirm his identity or rank.
Zaid replaced Abu Yahya al-Libi as one of al Qaeda's most powerful figures in June after Libi was killed by a US drone strike.
Unmanned aerial attacks have crushed al Qaeda's network along Pakistan's border with Afghanistan but have drawn trenchant criticism in Pakistan and Afghanistan.
Al Qaeda has been weakened steadily in Afghanistan and Pakistan since the killing of Osama bin Laden in a raid by US special forces on a Pakistani garrison town in May 2011.