The officials further added that the incident took place in the vicinity of Kohistan district earlier today.
According to the officials, the Taliban militants shot the woman and her daughter after accusing the woman that her husband is having links with the public uprising forces.
The anti-government armed militant groups including Taliban militants have not commented regarding the report so far.
Faryab is among the relatively volatile provinces in North of Afghanistan where both the Taliban and militants affiliated with the other militant groups are actively operating.
Today’s incident has taken place amid sharp rise in the cases of violence against the women.
The officials in northwestern Badghis province said Monday that a man has killed a nine-year-old girl who was married to him while she was only seven years old.
Provincial police spokesman Naqibullah Amini said the minor child bride was killed by her husband in Qads district of Badghis.