Asadullah Omarkhel's announcement came hours after Khanabad district was seized by Taliban fighters.
But local sources told the BBC that Taliban fighters were still present near the district headquarters.
The newly arrived government forces aimed to open the road link to the city of Kunduz, the governor said.
Afghanistan's independent Tolo TV news channel also reported that government troops had recaptured Khanabad, which is about 30km (19 miles) east of Kunduz.
