France called on all its nationals to leave the country due to the deteriorating security situation.
"All our nationals are invited to get in touch as quickly as possible with our embassy in Tripoli," the Foreign Ministry said in a statement.
The US, the UN and Turkey have pulled their diplomats out of the North African country.
The US evacuated its embassy on Saturday, driving diplomats across the border into Tunisia under heavy military protection because of clashes near the embassy compound in Tripoli.
A British embassy convoy was hit by gunfire during an attempted hijacking outside the capital on the way to the Tunisian border, but no-one was injured in the incident, an embassy official said on Sunday.
"It was an attempted hijack as the convoy was on its way to the Tunisian border," the official said. "No one was injured but vehicles were damaged."
Britain's Foreign Office advised its citizens on Sunday to leave the country immediately because of the "greater intensity of fighting" in Tripoli and the likelihood of further attacks on foreigners.
Germany and Spain also issued warnings to their citizens to leave. Italy's Foreign Ministry said it helped more than 100 Italians leave Libya and would help other countries evacuate their citizens as well.
The Libyan government said more than 150 people had died in Tripoli and Benghazi in two weeks of fighting.
In Tripoli, 23 people, all Egyptian workers, were killed when a rocket hit their home on Saturday during fighting between rival militias battling over the city's main airport, the Egyptian state news agency reported.