The security officials confirmed an magnetic bomb targeted a vehicle belonging to an Afghan National Army (ANA) soldier.
The officials further added that the blast partially damaged the vehicle and left the driver of the vehicle wounded who was taken to hospital and his health condition is satisfactory.
No group including the Taliban militants has so far claimed responsibility behind the incident.
This comes as one person was wounded in a similar incident that took place in the vicinity of Taimani area of the city last week.
At least one person was killed and two others were wounded in a similar incident in Karte Naw area of the city nearly ten days ago.
The security officials in Kabul said the bomb was planted in a vehicle belonging to the traffic police and a driver of the traffic department was killed.
Earlier, back to back coordinated attacks rocked Kabul city, leaving at least 18 people dead and scores of others wounded.
The first incident took place in a shrine in Karte Sakhi area of the city on Wednesday night as hundreds of people had gathered to mark the Ashura day.
The second incident took place hours after the first blast after a number of gunmen stormed a mosque where the Ashura mourners had gathered.