Militants battled security forces in the Afghan capital on May 9 after Kabul was rocked by a series of explosions, leaving at least two police officers dead and several wounded.
An Interior Ministry spokesman said three suicide bombers attacked two police stations in Kabul.
Najib Danesh said attackers had entered buildings near both police stations and were engaged in gunfire with Afghan security forces.
At least two police officers were killed and two wounded in one attack in western Kabul claimed by the Islamic State group, Interior Minister Wais Barmak told the media.
The casualty toll in the other attack, in the city's main business district, was not immediately clear because fighting between militants and security forces was still under way. The attack was not immediately claimed by any group.
The initial blast on May 9 hit a police station in western Kabul's Dasht-e Barchi district, at around midday, police spokesman Hashmat Stanekzai said.
Minutes later, two back-to-back explosions went off in Shar-e Naw, the city's main business district, near the office of a travel agency that processes visa applications for India.
The Taliban and an Islamic State (IS) affiliate have carried out a series of massive attacks in Kabul in recent months.
Twin suicide bombings in Kabul on April 30 claimed by IS militants killed at least 25 people, including nine journalists who had rushed to the scene of the first attack.
Among the dead were two RFE/RL journalists and an RFE/RL trainee.