The Ministry of Interior (MoI) said the Taliban commander identified as Mirza who was also famous as Hamza was killed during the clash.
According to a statement by MoI, Hamza was killed along with two other Taliban fighters after launching an attack on police check post in Qarabagh district.
The statement further added that the attack by the Taliban group was repulsed resulting into the death of Hamza and his companions.
At least two other militants also sustained injuries during the clash, MoI said, adding that two Ak-47 rifles, 2 motorcycles, and some other ammunition and explosives were confiscated following the clash.
According to MoI, Hamza was involved in major terrorist activities in Ghazni province, specifically in attacks on security check posts in the vicinity of Qarabagh district.
The Taliban militants group has not commented regarding the report so far.
Ghazni is among the relatively volatile provinces in southeastern Afghanistan where the Taliban militants are actively operating in a number of its districts and often carry out insurgency activities.