"Given the deteriorating security situation, France is asking its nationals to leave Libya," the French foreign ministry said in the latest warning. Around 100 French nationals are in the north African country.
Britain, Germany, the Netherlands and the United States have also called on their citizens to get out of Libya.
"The situation is extremely unpredictable and uncertain," the German foreign ministry said. "German nationals are at increased risk of kidnapping and attacks."
Two weeks of fighting between militias in Libya's capital Tripoli have left 97 people dead.
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"Forty Dutch citizens registered with the embassy in the capital Tripoli have... Been warned by email and SMS," said a foreign ministry statement.
The Dutch embassy, comprising five diplomats and ten local staff, is preparing for "temporary closure" after assisting citizens who choose to leave, added the statement.
The United States evacuated staff from its Libyan embassy under air cover on Saturday as they faced a "real risk" from fierce fighting around Tripoli airport, US Secretary of State John Kerry said.
The airport was closed on July 13 following clashes between armed groups in the area.
"Due to the ongoing and greater intensity of fighting in Tripoli and wider instability throughout Libya, the Foreign and Commonwealth Office (FCO) advise against all travel to Libya," the ministry's website said.
"British nationals in Libya should leave now by commercial means."
Britain's embassy will remain open but with reduced staff, and its ability to provide consular assistance "is very limited," the Foreign Office said.
The British ministry warned of a high threat of terrorism, noting that a number of foreign nationals have been shot dead in recent months.