The bodies of a 51-year-old man and a woman in her late 20s, both shot in the head, were found yesterday amid the disarray of a locked apartment off Georgia Avenue NW, D.C. police reported.

The man was identified as Maurice Lee Jackson, who lived in the apartment at 768 Princeton Pl. NW, where the bodies were found in a bedroom. Police said the woman was Brenda Eurnice Tibbs, who lived at 1314 1/2 Fifth St. NW.

Police said they believed the victims, who they described as acquaintances, had been dead about two days. No gun was found in the apartment. Police said they had no suspects and no firm information about a motive.

Neighbors interviewed by The Post on Princeton Place, a two-block street that runs between Georgia Avenue and the grounds of the Soldiers' and Airmen's Home said they did not know the victims and had heard nothing unusual in the last few days.

According to the police the bodies were found after a friend of Jackson's became concerned about not seeing him and telephoned a brother of Jackson's. The brother in turn telephoned Tibbs' mother, and the two relatives went yesterday to the apartment. After finding it locked, they went to a nearby firehouse, and returned with firefighters who entered through a window about 3 p.m.

While describing the premises as in severe disarray, police said they could not determine immediately whether the apartment was disturbed in a struggle before the shootings, or possibly in a search after them.

Police would not comment on a report that at least one of the two was bound, possibly with telephone cord.