A 23-year-old man, serving a 25-year sentence for the strangulation of an Arlington woman, was charged yesterday with homicide in connection with the June 14, 1980, strangulation of a Northwest Washington woman, D.C. police said.

Skip Adams-Taylor, whose last address was 2700 Cathedral Ave. NW, was charged with homicide in the death of Katheryn Kuhlmeyer, 21, who was found face down in Rock Creek under the P Street bridge.

Homicide detectives said Kuhlmeyer, of 3100 Wisconsin Ave. NW, had worked as a waitress at a Connecticut Avenue delicatessen where Adams-Taylor also worked. They declined to discuss the details of the case.

Adams-Taylor was convicted of first-degree murder in January 1981 for the July 1980 strangulation of Joyce Robertson, 22, in her South Arlington high-rise apartment. He also was sentenced to five years for stealing clothes and stereo equipment from Robertson's apartment.

Robertson had been beaten and strangled with the cord of her bathrobe. Newspaper reports described the case as the "parakeet murder" because Adams-Taylor told police he ripped the head off Robertson's pet bird because its chirping made him nervous.

Robertson and Adams-Taylor had met shortly before at a popular Washington disco. Adams-Taylor told police he was a homosexual, and during the trial the prosecution portrayed him as a man who hated women.

Adams-Taylor, who was brought to police headquarters yesterday from Virginia State Prison in Richmond, is to be arraigned today in D.C. Superior Court.

Yesterday's arrest capped almost three years of investigation by Detectives Tom Arnold and Judy Roberts of the homicide squad. Roberts resigned recently to become a special investigator with the Environmental Protection Agency.