The United States, Britain and France cited security fears as they announced the shutting of their embassies yesterday, days after the militia ousted parliament in its latest move to consolidate power.
But Hussein al-Ezzi, described as the Huthi militia's head of foreign relations, said the closures were designed to put "pressure" on the Yemeni people.
"The decisions of some Western countries to close their embassies in Sanaa are absolutely unjustified," he was quoted as saying by the official Saba news agency, which is under Huthi control.
Ezzi said the countries that closed their embassies "will quickly realise that it is in their interests to deal positively with the will of the Yemeni people, which they must respect."
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US embassy staff destroyed documents and weapons and abandoned vehicles at the airport as they made a hasty exit from Yemen.
The militia seized three diplomatic cars and more than 25 vehicles used by Marines in charge of security at the mission.
"It was to safeguard and protect (the vehicles) because certain drivers and local (embassy) staff wanted to appropriate them," he said.
"Airport authorities in Sanaa are ready to hand over the vehicles to a trustworthy third party, like the United Nations office."
The Huthis seized control of Sanaa in September and have since been tightening their grip on the capital and expanding their territory.
They dissolved parliament and declared a "presidential council" last week after the Western-backed president, Abedrabbo Mansour Hadi, tendered his resignation saying he could no longer govern.