The Islamic State outfit has claimed responsibility for the attack on the police station in Police District 13.
Interior Ministry spokesman Najib Danish said the first suicide bomber attacked a station in the western part of Kabul, killing at least two police.
The second attack occurred at the entrance to the police station in Central Kabul.
At least seven people were killed, including two police, and 17 were wounded in the incident, health officials said.
"A suicide bomber detonated his vest at the entrance of the street and a vehicle dropped four other attackers nearby", Barmak said.
Estanakzai told AFP that surrounding buildings had been evacuated but it was not clear if people were trapped inside with the attackers.
The Taliban claimed the second attack in a statement sent to media.
Najib Danish, spokesman for the Inside Ministry, mentioned the violence ended after almost seven hours. Clashes between security forces and militants are continuing in Police District 10 and the Taliban group has reportedly claimed responsibility. It was the deadliest assault on reporters since the fall of the Taliban in 2001.
Afghan security personnel inspect at the site of a suicide attack, in the center of Kabul, Afghanistan, on Wednesday.
The battle for the compound within the Bilchirgh district, within the northern Faryab province, got here a day after the insurgents captured the district compound within the distant Tala wa Barfak district, within the northern Baghlan province.
Mohammad Hashim, a member of parliament from the northern Faryab province, says the insurgents early Wednesday seized the compound in Bilchirgh district.
Since launching its spring offensive, the Taliban also has overrun at least four Afghan districts and threatened several others. He said another explosion occurred near a different police station.
This is just the latest of many attacks that have rocked Afghanistan since mid-April, when registration for the country's October parliamentary elections opened.
"There are many areas in the province under a high security threat, and this site was one of those areas", he said, adding that the center was some 30 kilometers west of the provincial capital of Qala-e Now.
According to an official, one person was killed and eight others injured while operations are underway to eliminate the attacking militants.
But despite repeated government pledges to tighten security, authorities have appeared powerless to stop the periodic attacks that have killed and wounded hundreds of people and undermined confidence in the authorities.
Several loud explosions could be heard in Afghanistan's capital, where the Taliban and an Islamic State affiliate have carried out a series of massive attacks in recent months.
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