The UH-60 Black Hawk from Fort Belvoir, Virginia, made a "hard landing" shortly before 2 p.m. EDT (1800 GMT) near Leonardtown, Maryland, about 35 miles (56 km) southeast of Washington, base spokeswoman Jennifer Brande said.
One of those injured was in critical condition and the other in serious condition at the University of Maryland's R. Adams Cowley Shock Trauma Center, the Army said in a statement.
The Army did not release the names of the crew members.
The helicopter were conducting a routine training flight, the Army said. The cause of the crash is under investigation, which will be led by Army officials from Fort Rucker, Alabama.
The helicopter went down at the Breton Bay Golf and Country Club, according to a club secretary.
"It started spinning. At first we thought it was doing tricks," she said.
Her friend, Kat McCurdy, said: "It disappeared behind the tree line, and then we heard a big bang."
A photo posted by the news website showed emergency personnel and vehicles gathered around twisted wreckage, with debris scattered on the grass.
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