The Taliban claimed responsibility for the bombing in the west of the Afghan capital.
"Around 11:02 am, a suicide car bomber detonated himself, targeted a convoy of foreign forces near Afshar neighbourhood of Kabul city," Najib Danish, interior ministry spokesman, told AFP.
"Unfortunately as a result of the attack, three Afghan civilians were wounded."
Bill Salvin, a spokesman for NATO's Resolute Support train and assist mission, confirmed the attack had targeted a military convoy.
"There are no Resolute Support casualties as a result of the explosion, and a team from Resolute Support is on the scene to recover the vehicle," Salvin said, adding that "there is no impact to Resolute Support operations."
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NATO has nearly 13,000 troops in Afghanistan including 8,400 Americans, with an additional 3,000 troops expected to be deployed in support.
The alliance's mission in Afghanistan is focused on training, advising and supervision of domestic security forces to counter the Taliban insurgents -- who oppose the Western- backed government of President Ashraf Ghani -- and the Islamic State group.
On September 13, a suicide bomber killed three people including a policeman and wounded five others after blowing himself up near a cricket stadium in Kabul.