The National Resistance Front (NRF) said on Sunday that one Taliban member was killed and two others were wounded in an attack by its fighters in Kapisa.
According to the front, the attack took place in the village of Mughal Baik Khel in Kapisa province.
So far, the Taliban has not commented on the incident.
The National Resistance Front said that the Taliban's weapons were also seized by its forces and a Taliban military vehicle was destroyed in the attack.
This is the second attack by this front against the Taliban in the past three days. On Sunday, the NRF said that it attacked a Taliban base in Takhar on Friday, October 18.