A D.C. police trial board yesterday cleared a police officer of a charge that he assaulted a Southeast Washington woman two years ago when the officer was taking a statement from the woman at her apartment.

The board found Glen N. DuBose, a 4 1/2 year veteran who was suspended in January 1979, following the woman's charge, not guilty of any wrongdoing. He is expected to be reinstated to the force and given about $38,000 in back pay.

He was found not guilty of the assault charge in D.C. Superior Court last October.

DuBose's troubles began on Dec. 14, 1978, when he and his partner responded to a complaint registered by a Southeast Washington woman. The next day the woman charged that DuBose had fondled her breast while he was taking her statement.

DuBose denied the chage, but was suspended without pay. On Oct. 6, D.C. Superior Court Judge Samuel Block dropped a simple assault charge against DuBose, citing insufficient evidence.

The trial board was told that the woman, who was convicted last June of cruelty involving her 2-year-old son, is psychotic and a habitual liar, Barry N. Stiller, DuBose's lawyer, told a reporter.