He said one of the attackers detonated his suicide vest and two others were shot dead by police as they tried to enter the compound, which also houses the regional command for Afghanistan's eastern provinces.
The last attacker held out for hours inside a dining hall as security forces worked to evacuate kitchen staff sheltering nearby, Tabasim said.
Meanwhile, in neighboring Logar province, gunmen shot and killed the head of the police's criminal investigation department, said Salim Saleh, spokesman for provincial governor.
CBS News' national security correspondent David Martin reported Friday that the Pentagon is making plans to send additional U.S. troops to Afghanistan.
The rising threat posed by Islamic State extremists, evidenced in a rash of deadly attacks in the capital city of Kabul, has only fueled calls for a stronger U.S. presence, as have several recent American combat deaths.