A 34-year-old southeast Washington man was shot to death last night during an exchange of gunfire with D.C. police, who were still trying to determine early this morning whether their gunfire or the victim's own gun had killed him.

Police said Tyrone B. Hopkins of the 500 block of 61st Street SE was found dead in his girlfriend's apartment at about 8:20 p.m., after he had fired at police, and two 6th District officers, returned the fire. Police refused to identify the officers or to say how many times they had fired.

Police had been called to the scene, a basement apartment at 5344 C St. SE, about 7:30 p.m. after Hopkins' girlfriend called and alleged that she had been assaulted by Hopkins, police said.

According to police Hopkins fired several shots at them shortly after they arrived on the scene. They returned fire and called for the barricade unit. Moments later, when police entered the apartment Hopkins was found dead, shot once in the chest.

Early this morning homicide detectives were still interviewing Hopkins' girlfriend, whom they refused to identify, and the officers who fired their service revolvers. They said they would not be able to determine whether one of the officers or hopkins himself fired the fatal shot until a ballistics test was done later today.