The Ministry of Interior (MoI) said Hayat also famous as Haji Lala was killed during a special military raid of the Afghan National Army and Afghan National Police forces.
A statement by MoI said his deputy identified as Ahmad Shah Hemat was also killed along with 43 fighters during the raid conducted in Kata Sang area of Shahwali Kot district.
The Afghan forces also confiscated some weapons and ammunition following the special military operation, MoI added.
The Taliban militants group has not commented regarding the report so far.
The Afghan security forces have stepped up counter-terrorism operations across the country to suppress the insurgency activities of the group as the weather gets warm, resulting into more attacks by the insurgents of the group across the country.
This comes as the Taliban-led insurgency has been rampant since the group announced its spring offensive earlier this month but the security officials are saying that the offensive has been successfully repulsed and the group has suffered heavy loss.