Al-Kuwaiti earlier this year replaced Abu Yahya al-Libi, al-Qaida's second in command, who was killed in a U.S. drone strike in North Waziristan in June, the officials said on condition of anonymity because they were not authorized to talk to the media.
But al-Kuwaiti appeared to be much less widely known and was not part of the U.S. State Department's list of most wanted terrorists, as al-Libi had been.
Covert CIA drone strikes have killed a series of senior al-Qaida and Taliban leaders in Pakistan's tribal region over the past few years. But the attacks are controversial because the secret nature of the program makes it difficult to determine how many civilians are being killed.
Pakistani officials often criticize the strikes as a violation of the country's sovereignty, which has helped make them extremely unpopular in the country. But senior Pakistani officials are known to have cooperated with strikes in the past, and many people believe they still do.
Al-Kuwaiti's wife and daughter were wounded in Thursday's drone attack, according to the intelligence officials. His wife died a day later at a hospital in Miran Shah, another main town in North Waziristan.
Al-Kuwaiti was buried in Tappi village near Mir Ali on Friday, the officials said.
A Pakistani Taliban commander who frequently visits North Waziristan said he met some Arab fighters on Saturday who were "very aggrieved." The Arabs told him they lost a "big leader" in a drone strike, but would not reveal his name or his exact position in al-Qaida.