At least four people including a policeman were killed by a roadside bomb in eastern Afghanistan late on Friday, according to reports.
The blast occurred near a truck with US military supplies which had been set on fire by suspected Taleban rebels.
The US military also reported that two soldiers were killed and three injured when their vehicle was blown up by a land mine on Thursday.
The attacks happened as counting of votes began in the presidential polls.
The Taleban had threatened to disrupt last Saturday's election, but it went ahead peacefully.
However, experts warned of an upsurge in violence once the tight security accompanying the vote had been relaxed.
'Crowd gathered'
Friday's explosion took place on a main road in the Dap area of Kunar province's Asmar district, around 125km (80 m) east of the capital
Kabul.
Provincial governor Saeed Fazel
Akbar Agha told the AFP news agency the district police chief had been injured in the blast.
He had gone to investigate an arson attack on a truck carrying food to US bases, and a crowd of local people had also gathered at the scene, the governor said.