Forces loyal to military strongman Khalifa Haftar on Monday began the attack aimed at ousting jihadists from their final two strongholds in Libya's second city.
"There were 11 dead and 55 wounded among the armed forces in different parts of Al-Sabri and the town centre," special forces spokesman Colonel Miloud Zouai told the agency.
These forces form part of Haftar's self-proclaimed Libyan National Army.
Forces loyal to Haftar, who does not recognise a UN- backed unity government in Tripoli and backs a rival parliament, have retaken most of the coastal city since it was overrun by jihadists in 2014.
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Libya has been wracked by chaos since the uprising, with rival authorities and militias battling for control of the oil-rich North African country.
Jihadist groups in Benghazi, 1,000 kilometres (600 miles) east of Tripoli, include the Revolutionary Shura Council of Benghazi, an alliance of Islamist militias among them suspected members of the Islamic State group and the Al- Qaeda-linked Ansar Al-Sharia.
Yesterday, ANL forces advanced in the Al-Sabri district and the Souq al-Hout area adjoining Benghazi's port, where the jihadist groups are located.
It reported the spokesman as saying Tuesday that "the main port of Benghazi in the Souq al-Hout area is now under the control of these forces".
Yesterday, pro-Haftar forces bombarded "terrorist groups with great precision", causing "many deaths and injuries", the agency reported without giving numbers.
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