A total of 17,000 people in the city’s northwest district had to leave their homes because of the large bomb.
The toll is expected to rise in the country’s deadliest attack since a truck bombing at the same spot five years ago killed more than 500.
The agency said the inspection followed a request by Ukraine issued in response to claims, without evidence, by Moscow that Kyiv is working on a bomb with nuclear material.
The order to vacate the area was because of the discovery of a World War II-era bomb, according to police.
The official said the blast hit the vehicle entering the Green Zone, and there was no casualty except for minor damage to the car.
In May 2021, bombings near a school in the Dasht-e-Barchi area of Kabul killed at least 85 civilians, mainly schoolgirls and injured dozens of others.
The incident came two days after armed gangs invaded Kaduna International Airport, killing aviation workers and leaving many others wounded.
The bomb was said to have been planted in a motorcycle belonging to the POS operator.
The Al-Wuhailat market was filled with shoppers preparing for the Eid-al-Adha festival.
Military sources told Peoples Gazette that the explosion rocked the entrance of 27 Task Force Brigade in Buni Gari after being triggered by a lightning.