Mahfoozullah Akbari, a spokesman for Kunduz police, said Taliban fighters attacked the district of Qala-e-Zal “from several directions” on Friday, and took full control of the district by mid-morning on Saturday.
Akbari said security forces had put up tough resistance but were forced to retreat because reinforcements failed to arrive in time.
In a statement posted on their website, the Taliban said they had killed a number of soldiers, policemen and pro-government militia members and confiscated a huge cache of arms and ammunition.
Afghanistan has seen intensified Taliban attacks across the country, leaving Afghan forces – already beset by killings, desertions, and vacuums in leadership and morale – stretched on multiple fronts.
They have faced high casualties, up 35 percent in 2016 with 6,800 soldiers and police killed, according to a US watchdog.
Last month the Taliban delivered a painful blow to the government, with its fighters dressed in Afghan army uniforms killing at least 135 young recruits at a base near northern Mazar-i-Sharif city.
More than 16 years after they were driven from power, almost half of the country is either contested or under the control of the Taliban.
According to US military estimates released by the Special Inspector General for Afghanistan Reconstruction (SIGAR), the Afghan government can only claim to control or influence 57 percent of the country’s 407 districts.