Documents published by the government show the illegal seizure of state land and property by the Military Investment Committee, a shady financial authority under warlord Khalifa Haftar.
FM Mohamad Taher Siala says there has been no prior consultation with his government, and the meeting would "merely deepen the rift" between Arab governments on the conflict.
The devices had gone off in the Ain Zara and Wadi Rabi districts on the southern edges of the capital, which had been controlled by militants backing warlord Khalifa Haftar until May, the health ministry said.
The statement from Hulusi Akar comes after Libyan warlord Khalifa Haftar lost major strategic areas to the UN-backed government in recent days.
The Libyan army earlier launched military operation, Path of Victory, to capture Sirte, Jufra and towns in Wadi Wishka, Buerat, Jarif and Qasr Abu Haid from warlord Haftar's militia.
Libya's internationally recognised government attempted new advances against the militia of retreating warlord Khalifa Haftar, who stood by in Cairo as his ally, Egyptian President Abdel Fattah al Sisi, proposed a ceasefire.
The city of Tarhuna, near Tripoli, was a major focal point for supply lines for Khalifa Haftar’s militias from Jufra airbase.
Libya's UN-backed government launched Operation Peace Storm in March to counter attacks on the capital and recently regained strategic locations in a major blow to warlord Haftar's militia.
The Libyan army had earlier officially announced the launch of the operation to liberate the airport, located south of the country's capital Tripoli.
Mustafa al Mujie, spokesman for the government-led Burkan Al Ghadab (Volcano of Rage) Operation, said that the army forces gained control in Esabia town of southern Tripoli.
Local tribes in al Asaba had earlier announced their support to the Libyan government.
The move on Al Watiya base comes after 48 hours of siege in which Libya's military destroyed three Russian-made Pantsir-type air defence systems supplied by the United Arab Emirates (UAE) to Khalifa Haftar.
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