The Libya Shield militia accused forces loyal to the internationally recognised government of carrying out the raid close to the Ras Jedir border crossing.
"One Libya Shield member was killed and between three and five were wounded," spokesman Hafedh Muammar told AFP.
Libya Shield forms part of the Islamist-backed militia alliance which seized the capital and much of the west in August, forcing the internationally backed government to take refuge in the remote east.
Forces loyal to the government have carried out a spate of air strikes in western Libya in recent days.
But their militia rivals, who have set up their own administration in the capital, said the strike hit a poultry farm.
On Tuesday, air strikes on the coastal city of Zuara, between Tripoli and Ras Jedir, killed seven people, including five African migrant workers.
Forces loyal to prominent former general Khalifa Haftar, who is now allied with the internationally recognised government, control the Al-Woutia air base in western Libya.
Haftar's forces have been battling Islamist militia in second city Benghazi since October. He has also vowed to end militia control of the capital within three months.
