A local security official in Adraskan district confirmed the report and said seven other militants were also killed during the operation.
A spokesman for the Afghan special forces in Herat province said the operations were launched after a vehicle of the Afghan national army commando forces was ambushed by Taliban militants.
He said the operations continued until late Friday night in Adraskan district which resulted to death of 8 Taliban militants including the shadow Taliban governor for Shindand district.
Adraskan district chief Haji Lal Mohammad Omarzai confirmed that the shadown governor and deputy governor of the Taliban group in Shindand were killed during the operations.
Mr. Omarzai further added that two Afghan commandos were also injured during the operations.
Taliban militants group yet to comment regarding the reports.