Air-to-surface missiles and helicopter machinegun fire were also used in the attack on houses in Yakla district, in the central province of Baida, the sources said.
Brothers Abdulraouf and Sultan al-Zahab and Saif Alawai al-Jawfi were killed in the strikes carried out by drones and Apache helicopters, they said.
"There are casualties among the civilians that were in the targeted houses," said one source.
The tribal chiefs were known to be linked to Al-Qaeda, the sources said.
Also Read
The United States, which considers the extremist group's Yemen-based franchise, Al-Qaeda in the Arabian Peninsula, to be its most dangerous, is the only force operating drones over Yemen.
But it only sporadically reports on a long-running bombing campaign against AQAP.
On January 14, the Pentagon announced the killing a senior Al-Qaeda operative in Baida a week earlier in an air strike.
Al-Qaeda and the Islamic State jihadist group have exploited a power vacuum created by the two-year-old conflict in Yemen between the government and Shiite Huthi rebels, especially in the country's south and southeast.
Disclaimer: No Business Standard Journalist was involved in creation of this content