SEATTLE (AP) _ The number of confirmed victims of the Green River killer climbed to 36 today as skeletal remains found in woods 30 miles east of here were identified as those of Kimberly L. Nelson, a young woman long feared slain by the serial murderer.

Ms. Nelson, also known as Tina Tomson, was 19 when she was last seen Oct. 31, 1983, in south Seattle. Part of the area was a favorite early hunting ground for the killer, who has preyed mainly on young prostitutes and street people.

Her partial skeleton was found within three miles of the site where two other Green River victims were dumped, off Interstate 90 some six miles east of North Bend.

The case takes its name from the river south of the city where the bodies of the first five victims were found in the summer of 1982.

Ms. Nelson was identified through dental records on file with the King County medical examiner's office, the medical examiner and the Green River Task Force announced today.

Task force spokeswoman Fae Brooks said Ms. Nelson had been listed on the official Green River missing list. Her addition to the list of dead lowers the number of missing to 10.

The medical examiner's office was unable to determine how she was killed, and declined to speculate how long she had been dead.

Her body was found Saturday by task force detectives who followed a 26- year-old Weyerhaeuser Co. employee to the spot where he had found a human jawbone the previous evening, Ms. Brooks said.