The bomb detonated as a taxi was passing by in the Kota-e Sangi district of western Kabul.
The Taliban spokesman for Kabul police, who goes by a single name Mobin, said two people were wounded.
Witnesses said one was a woman in the taxi and the other a man passing by.
The blast came two days after a bomb exploded in a mini-bus in another part of western Kabul, killing at least one person and wounding five others. Colleagues identified the slain man as Hamid Sighyani, a journalist with Ariana TV.
There was no immediate claim of responsibility for the explosions. The Daesh (ISIL or ISIS) terrorist group has been waging a campaign of violence in Afghanistan, targeting Taliban fighters and civilians, especially members of the mainly Shia Hazara ethnic group.