Arif Noor, the provincial governor's spokesman, said the hours-long gunbattle also wounded two policemen early Thursday morning in Waghaz district.
Afghanistan's beleaguered security forces come under near daily attacks by Taliban.
The insurgents have continued their onslaught against the country's security forces while at the same time continuing peace talks with the U.S.
The first round of intra-Afghan dialogue that will also include the Afghan government is set to take place later this month.
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