Two other people were also taken to the hospital with injuries that were not life-threatening. They were not shot.
The investigation into the events leading up to the shooting is still ongoing, but police said Green remained on the scene afterward and cooperated with detectives. When officers arrived, they interviewed several people who were witnesses, authorities said.
Police also recovered a firearm believed to have been used in the incident.
In addition to murder, Green has been charged with malicious wounding and use of a firearm in commission of a felony. He was taken to the Fairfax County jail, where he is being held on no bond.
The medical examiner will perform an autopsy on the victim.