According to local government officials, the incident took place on Saturday in Khawajah Sabz Posh district while the district chief was on his way to Sherin Tagab district.
The district administrative chief, Loqman Gaharyak, said the driver of Sherin Tagab district intelligence chief was also killed following the ambush.
Gaharyak furhter added that he was accompanying the district intelligence chief during his trip to Sherin Tagab district, but he escaped the Taliban attack unhurt.
Taliban militants group has not commented regarding the report so far.
Faryab is among the volatile provinces in northern Afghanistan where anti-government armed militant groups are actively operating in its various districts and frequently carry out insurgency activities.