Two men were shot in the District overnight and one of them has died, police said.

About midnight Thursday, a man was shot in the head in an apartment in the 1200 block of Fourth Street SW, which is near the Waterfront Metro station. He died at the scene, police spokesman Officer Anthony Clay said.

A woman has been arrested in connection with the incident. The suspect and the victim have the same last name, but Clay said that he did not know the pair's exact relationship or whether both the man and the woman lived in the apartment.

In a separate incident, a man was shot in the body at about 1:30 a.m. in the 1800 block of Massachusetts Avenue SE, in the eastern part of Capitol Hill. He was taken to a hospital with injuries that did not appear to be life threatening, police said.

Police are looking for a man who was wearing dark clothing and said that a small, dark-colored vehicle may be connected to the shooting.