The envelope was received at Joint Base Myer-Henderson Hall, leading to an evacuation of the building, the US Marine Corps said in a statement.
Base officials "are coordinating with local HAZMAT teams and FBI. Several Marines are receiving medical care as a result of this incident," the statement read.
"No additional details are available at this time as the investigation is ongoing."
The Arlington Fire Department tweeted that "11 people started feeling ill after letter was opened in consolidated admin building."
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Marine spokesman Major Brian Block said it was too soon to say whether the incident was being considered a terror attack.
"It's way too early to start speculating on any of that, we have to wait and let the investigators do their jobs," Block told AFP.
Joint Base Myer-Henderson Hall overlooks Arlington Cemetery just across the Potomac River from Washington.
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