A separate blast in the center of Nangarhar province, Jalalabad, caused by a roadside bomb targeting a police vehicle wounded four people including two civilians, said provincial police spokesman Farid Khan.
No group immediately claimed responsibility for the blasts.
Bombings in recent weeks have targeted politicians, security officials, human rights activists and journalists.
The Taliban and the Afghan government have been negotiating in Qatar to reach a peace deal.
Those talks resumed in January after an almost month-long break, but negotiators and diplomats say there has since been little progress.