The top Pakistani security official is visiting Kabul more than two weeks after Ghani offered unconditional talks to the Taliban in his bid to end an increasingly deadly Afghan war.
The latest blast in the series attacks in the war-weary Afghan capital comes after the USA general in Afghanistan said protecting the city was a priority for foreign forces. So far it has given only a muted response.
"Around 9:10am this morning a suicide auto bomb exploded in Police District Nine of Kabul", interior ministry spokesman Najib Danish said, adding the target of the attack was not clear.
Afghan security personnel arrive at a site after a vehicle bomb exploded near the old Ministry of Interior building in Kabul on January 27, 2018.
An Afghan police officer said the attacker killed three civilians and wounded five more in the eastern part of the capital.More news: Sunday's NCAA tournament second-round game times, TV information set
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Health ministry spokesman Wahid Majrooh told AFP at least four people had been wounded.
A spokesman for the terror organisation said in a statement: "The target was a foreign automobile and the attack was successful".
Witnesses said the true casualty toll was higher and that, like countless other attacks in Kabul, its main victims appeared to ordinary people going about their daily lives.
A Taliban statement claimed responsibility for the attack, which it said targeted "foreign invaders".
The group has been resurgent since the withdrawal of US-led North Atlantic Treaty Organisation combat troops at the end of 2014, taking back territory and devastating Afghanistan's beleaguered security forces.