Pro-government Yemeni security officials said the troops were killed today when a Houthi missile hit a weapons storage depot near their position in the province of Marib, about 120 kilometers east of the capital Sanaa.
Officials from the Houthi media office in Sanaa confirmed they fired a Soviet-era Tochka missile.
The WAM news agency didn't specify the role of the personnel in Yemen. The seven-state Emirates federation is one of the most prominent members of the Saudi-led coalition, which aims to roll back gains by the Shiite rebels and their allies in the deeply impoverished Arabian Peninsula country.
Today was by far the deadliest day for the Emirati military since the conflict began, and the deaths are believed to be the country's highest number of military casualties since the UAE federation was founded in 1971.
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US Secretary of State John Kerry phoned the Emirati foreign minister, Sheikh Abdullah bin Zayed Al Nahyan, soon after the deaths were announced to express his condolences, WAM said.
Fighting in Yemen pits the Houthis and army units loyal to former President Ali Abdullah Saleh against forces loyal President Abed Rabbo Mansour Hadi, who is in self-imposed exile in Saudi, as well as southern separatists and local militias.
The Saudi-led and US-backed coalition has been launching airstrikes against the rebels since March, in an operation that aims to roll back gains by the Shiite rebels and their allies. Houthis have captured more territory in Yemen after taking control of the capital, Sanaa, last September.