At least 20 members of the security forces are believed to be killed or wounded when the fighters attacked the Anar Dara district's police and administrative offices on Monday morning.
Fared Bakhtawer, the head of the Farah's provincial council, said initial reports indicated that about 15 members of the government security forces were killed and wounded in the assault, which was launched late on March 11.
"The Afghan forces have warned the Taliban either to surrender or die on the battle field", said Bakhtawer.
Mr Mohammad Naseer Mehri, a spokesman for the governor of Farah, said the attack began around 4am and the Taleban had managed to enter the governor's compound and seize it.More news: Fact-check: Trump inflates his share of women's votes
In recent months, Farah province has witnessed an increase in attacks by insurgents against security forces and local officials have requested the deployment of more forces in the province.
Rahimi said 56 militants were killed and dozens of others were injured in the air strikes. Some 40 militants were also killed, officials said.
Both the Taliban and rival militants from a branch of the so-called Islamic State regularly attack local officials and security forces in Nangarhar Province.
The pressure on Farah has grown as USA air strikes and Afghan army operations have inflicted heavy casualties on Taliban fighters in neighbouring Helmand province, the country's main opium-growing region and a heartland of the insurgency.More news: US House Republicans Say Probe Found No Collusion Between Russia, Trump
The victims are all members of a single family, Khogyani added.
Afghan and Western officials warn that the country's security could further deteriorate in the coming year, even as the USA military finds itself drawn deeper into the war, with additional military advisers arriving to help Afghan forces.
"If they are not fought back, the district will be taken over entirely".More news: Lenovo S5 smartphone will compete with Xiaomi Redmi Note 5
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