Abdul Manan was the Taliban "shadow governor" for Helmand province in the south, a key territory for the group, which also gave him control over a large part of the group's finances, reports Efe news.
Helmand is the centre of the country's drug trade and the Taliban tax the drugs business.
Manan's death on Saturday was confirmed by three Taliban officials.
His death would be the biggest loss for the Taliban since 2016 when the group's leader, Akhtar Mansour, was killed in a US drone strike in western Pakistan.
The killing of Mansour sank the prospects for peace talks at the time as the Taliban resented the loss of its chief.
The latest airstrike was near the town of Sangeen in Helmand, Taliban sources said.
Manan was one of the most influential figures in the Taliban, considered a hardliner. His hold over the drugs business gave him an independent voice within the Taliban hierarchy.
He was considered the force behind the Taliban's success in Helmand.
A spokesman for the Taliban, Zabiullah Mujahid, said he was checking the reports.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)