Both the UK and U.S. governments have taken diplomatic staff out of Sanaa the capital of Yemen as well as urging their citizens to exit as well.
The French embassy in Sanaa announced it would close Friday.
The move comes as attempts by the UN to broker negotiations between Shia rebels and political factions have not resulted in any agreements. The rebels control Sanaa and have dissolved parliament.
On January 22, President Abdrabbuh Mansour Hadi resigned along with his full cabinet, after Houthis rebels overran his presidential palace and put them under house arrest.
The Houthis took over many predominantly Sunni regions of western and central Yemen recently, which sparked battles with Al-Qaeda in the Arabian Peninsula and tribesmen, after moving from their stronghold in the northern and seizing the capital this past September.
This crisis threatened to derail a transition backed by the United Nations to democracy that was launched after huge public protests forced Ali Abdullah Saleh the long-time president to hand power over in 2011 to Hadi.
Early Wednesday, the foreign office of the UK announced it would temporarily suspend operations of its British embassy located in Sanaa. Both the diplomatic staff and the ambassador are expected to return to the UK.
Security in Yemen has deteriorated over the past week, said the UK Middle East Minister and regrettably, the judgment is that the UK embassy staff and the premises are at a heightened risk.
The UK decision was taken only hours after the state department in the U.S. said it decided to suspend its operations at its Sanaa based embassy.
The government of the U.S. also called on the rebels for the immediate release of President Hadi, Khaled Bahah the Prime Minister and the entire cabinet.
However, Abdul Malik al-Houthi the rebel leader rejected the fears of the West about a security situation in Yemen.