Officials in 209th Corps of the Afghan National Army (ANA) forces said clashes between the Afghan forces and the Taliban insurgents erupted in Imam Sahib district.
The officials further added that four Taliban insurgents were killed and three others were wounded during the clash.
According to the officials, the local residents and members of the Afghan security forces did not suffer any casualties during the clash.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the incident so far.
Kunduz is among the volatile provinces in northern Afghanistan where the Taliban militants are actively operating and have intensified insurgency activities during the recent months.
The group managed to briefly take control of the strategic Kunduz city last year and launched numerous attacks this year with an aim to capture the city after announcing its spring offensive earlier in April.
Earlier, at least four Taliban insurgents were killed in a drone strike carried out by the US forces in Afghanistan in Chardara district.