Rebels say all of Tripoli is under their control, except for Gaddafi's Bab al-Aziziyah compound. They also claim to have taken control of the state TV building.
Eyewitnesses are tweeting that an “Independence” flag has been raised on Abdel Ghani mosque.
Some estimates put the death toll from this weekend alone at more than 1,300 people, with around 5,000 injured.
Three of Gaddafi's sons have reportedly been captured by the rebels. According to the Libyan leader’s spokesman, Gaddafi is prepared to negotiate directly with the head of the rebel transitional council, but says the rebels are not ready to listen.
The International Criminal Court says it can confirm that Gaddafi's son Saif al-Islam has been arrested.
Earlier on Sunday Saif al-Islam Gaddafi, the Libyan leader’s son and a well-known face in the West, has been captured, the head of Libyan rebel national transitional council told the Al Jazeera television network.