According to the country's Ministry of Public Health, 17 others were injured in the attacks, which took place on Wednesday afternoon, near police headquarters. No organisation has claimed the responsibility of the blasts.
After that, the area of the attack shots were heard, causing the security forces began in the area of clearing.
Three weeks ago, an Islamic State suicide bomber targeted a voter registration centre in western Kabul, killing 69 people.
Six wounded were brought into the trauma hospital run by Italian medical aid group Emergency, of whom one was dead on arrival.
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However, the Afghan Intelligence - National Directorate of Security - said that the notorious Haqqani terrorist network was involved in the coordinated attacks. It was unclear who was behind the assaults, however the Taliban and an Islamic State affiliate are each lively within the province. "We are rushing ambulances to the blast site and cordoning off the entire area", said police spokesman Hashmat Stanekzai. He did not have any immediate word on casualties.
Last week there was twin suicide attack which killed at least 25 people, including 10 journalists.
Elsewhere in Afghanistan, the Taliban advanced on a district compound, officials said on Wednesday, with one reporting the capture of the northern district by the insurgents and another saying heavy fighting was still underway.
Mohammad Hashim, a member of parliament from the northern Faryab province, says the insurgents early Wednesday seized the compound in Bilchirgh district.
In rural Afghanistan, two more districts in separate northern provinces fell to Taliban control on Tuesday. The district in north-western Afghanistan was captured by Taliban fighters two days ago. Provincial police spokesman Abdul Karim Yuresh mentioned the preventing continues to be underway and that authorities forces nonetheless maintain the compound.