The drone targeted a vehicle at the entrance to a presidential palace in Mukalla, capital of the southeastern province of Hadramawt, the official said, asking not to be named.
"Four Al-Qaeda members were killed, including leaders, and others wounded," he said, without being able to name those killed.
A US drone strike last month killed the senior Al-Qaeda official who appeared in a video claiming the deadly January attack on French magazine Charlie Hebdo, a monitor said Thursday.
The announcement of his death came in a video posted last week on Twitter by Al-Qaeda in the Arabian Peninsula which Washington considers the international terror network's deadliest branch.
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Al-Qaeda has exploited fighting between rebels and beleaguered government forces backed by a Saudi-led coalition to consolidate its grip on Hadramawt province.
Washington has acknowledged that Al-Qaeda is gaining ground but has vowed to keep up its battle against the group.