Tripoli , Libya ( CNN ) -- Despite the passage of a law banning Gadhafi-era officials from Libya 's government , armed groups continued their blockade of two ministry buildings in Tripoli on Monday , this time demanding the dismissal of Prime Minister Ali Zeidan . The adoption of the political isolation law by Libya 's parliament on Sunday had been a main demand of militiamen who surrounded the foreign and justice ministries last week . But on Monday some of the armed protesters said they want Zeidan out . `` We came out with two main demands , the political isolation law and the dismissal of Ali Zeidan 's government , '' said Osama Kubbar , one of the leaders of the armed protest . Kubbar said the protesters will not back down from this demand , and ministries will continue to be surrounded until Zeidan steps down . According to Kubbar , indirect negotiations with officials close to the prime minister were under way . Last week two senior government confirmed talks with the leaders of the armed protests to try and resolve the situation . On Sunday , a member of the General National Congress -- Libya 's parliament -- told CNN that there were discussions among some lawmakers to withdraw confidence from Zeidan 's government . Kubbar accused Zeidan of being unfit to rule Libya , and some of the prime minister 's official appointments were opposed by former revolutionary fighters . Zeidan 's actions , Kubbar said , disrespected and provoked them . He said his group protested peacefully for months , but when their demands were not met , they resorted to armed protests . `` ( The government ) forced us to do this . I hold them responsible ; this is the only language they understand , '' he said . Kubbar is the deputy head of an umbrella group created at the end of 2011 that includes several former rebel groups . Many Libyans expressed concern on Sunday that the law 's passage after months of political wrangling would undermine the democratic process and further embolden armed groups . So far the Libyan government has said it will not use force in dealing with the armed protests to avoid bloodshed , according to recent comments from Zeidan . `` The government has so far shown a policy of restraint ; they can actually confront if they chose to , but that would seem like a civil war broke out in Libya , '' said Mohamed Eljarh , a contributor to Foreign Policy magazine 's `` Transitions '' blog . `` I think that is why they 're still showing restraint until now . Not sure how long for though . '' According to Eljarh , the government has the support of some regional militias who could mobilize if there any efforts to remove Zeidan by force . Like some other Libya analysts , Eljarh believes the armed protests are fueled by political interests . He says leaders of the movement , such as Kubbar , ran in last year 's parliamentary elections but failed to win a seat . Kubbar also tried to become prime minister , but he could not secure enough parliamentary votes for a nomination . `` These guys are n't representatives of anyone but their own interests and agendas ... it is nothing to do with legitimacy , democracy or safeguarding of the revolution . ... To me , this is pure struggle for power and influence , '' Eljarh said . Zeidan 's government , in power since November , inherited a country awash in weapons and militias and has taken steps to try and rein in these groups as it struggles to build an army and a police force . `` Zeidan and his government took a tough line on militias in Tripoli and Benghazi , and they are now paying the price for such a line , '' Eljarh said .
Protesters who won new law against Gadhafi-era officials continue efforts . They want Prime Minister Ali Zeidan to be dismissed , leader says . The government has been accused of using the security forces as a tool for political ends.