The provincial government media office in a statement said a man shot dead at least three family members of his cousin in Khogyani district.
The statement further added that the incident took place late on Wednesday evening in the vicinity of Aziz Khel area.
According to the provincial government, a woman was among those killed while three others including a girl sustained injuries during the shooting.
The assailant was also killed after his one of the family members of his cousins opened responded to the shooting spree, the statement added.
The statement also added that wounded individuals including a child have been shifted to the hospital in Jalalabad city.
The main motive behind the deadly incident has not been ascertained so far.