"At least four suicide bombers carried out an attack on a police station," the source said, adding that one bomber detonated his explosives.
Police were still fighting the others, who were armed with machine guns and rocket-propelled grenades, the source said.
"There were gunfights in Police District Five. There were no casualties. Now everything is under control and we are investigating the case," said Mohammad Zahir, head of the criminal investigation department for Kabul police.
Earlier, a Reuters witness heard gunfire and at least two explosions.
The Taliban generally target military personnel or foreigners, such as in the attack on a convoy of NATO-led International Security Assistance Force (ISAF) vehicles in late October, which killed 13. That attack was also in the west of the city, an area which does not have a high concentration of foreign residents.
A huge suicide bomb killed 80 people at a Shi`ite Muslim shrine in Kabul last week, an attack the Taliban condemned. (*)
Editor: Kunto Wibisono
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