A 25-year-old Hispanic male was fatally shot early Sunday at the Cooper Park Apartments, 1001 Cooper Square Circle.
Police spokesman Lt. Blake Miller said homicide detectives are looking into the death of the man, who has not yet been named.
Miller said officers were dispatched to the apartments about 2 a.m. and found the wounded man on the pavement.
He was transported to Medical Center Arlington, where he died.
Miller said indications are that the victim knew his assailant.
"It appears an altercation occurred at another location and the shooting happened at the apartment complex," Miller said.