The shoot-out in Tripoli's streets has drawn condemnation from officials as well as the country's top cleric, Mufti al-Sadiq al-Ghiryani.
"Libya is going down a dangerous slippery road," al-Ghiryani said in a statement to local televisions late Friday, blaming the government for taking little action to stem the violence.
On Saturday, the local council for Tripoli also blamed the government, calling on it to identify the militias that work with the government, and to outlaw all others.
The local council for Misrata, for its part, said it would not allow armed men from the city to go outside its boundaries. The council, which has good connection with local tribesmen and leaders, had issued instructions that no weapons are to leave the city gates.
It is unclear whether the city's famously aggressive militias will comply, however.
The head of the council Attiyah al-Derini had apologized for the attack by the city's militia on their rivals in Tripoli, describing it as an act of individuals.
Also Saturday, about 300 protesters held a rally in Tripoli demanding elections for parliament before the end of the year, fearing the current interim body will seek to extend its mandate beyond February when a new vote is expected. Protesters carried banners that read, "No to extension. Yes for renewal."
The rally organizers, calling their movement Nov. 9, are calling for elections for individual candidates and not according to a party list system, used to elect the current body.
They say they are dismayed at the performance of political parties since the uprising. The interim parliament, Libya's first elected legislature since the 2011 uprising that toppled dictator Moammar Gadhafi, is deadlocked between non-Islamist and Islamist blocs, and pressure is mounting to remove Western-backed Prime Minister Ali Zidan.