The blast occurred at around 10:45 am in PD2 of Jalalabad City.
Provincial governor spokesman Ataullah Khogyani said the blast occurred as a result of a magnetic bomb attached to a Hilux vehicle in Shesham Bagh area.
He added that the victims were transferred to a local hospital nearby for treatment.
Reports suggested that a small girl from the Afghan Hindu community is also among the victims and some of the injured victims were in a critical condition.
The presidential palace in a statement condemned the attack and ordered the relevant institutions to investigate the incident.
No group or individual has claimed responsibility for the attack yet.