Correa ordered the US Department of Defense personnel out of the country on April 7, said Jeffrey Weinshenker, a spokesman at the US embassy in Quito.
The Pentagon staff have until the end of April to leave the country, Ecuadoran officials said.
In a statement released, Weinshenker said the United States respects Ecuador's right as a "sovereign" nation to expel the US military staff, but regrets that the move "will severely limit our bilateral cooperation on issues related to security."
"The US government is reducing our security cooperation programs and moving those assets to another location," the diplomat said.
The expulsions make good on a months-old threat by Correa to drastically pare back the presence of US military officers and staff in Ecuador, over concerns about US "espionage" and "American imperialism."
Quito in January said it wanted to reduce the number of US military staff on its territory, and also warned it would not allow US "espionage equipment" on its soil.
Prior to the expulsion orders, there were about 50 US military staff in Ecuador, according to officials in the Ecuador government.
Bilateral relations also have been strained by the controversy over US surveillance of foreign governments, which was brought to light by fugitive intelligence leaker Edward Snowden.
In 2009, Correa opted not to renew a lease that had allowed the United States to operate its counter-narcotics operation in South America.
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