Fred M. York Jr., 37, a political consultant, and Robert G. Richley, 39, a hospital administrator, whose bound and gagged bodies were found May 13 in their home near Capitol Hill, died of asphyxiation, according to a spokesman for the D.C. Medical Examiner. D.C. Police said that robbery or burglary was the suspected motive for their deaths.

Mr. York came to Washington in 1971 as a legislative assistant to Rep. Bill Chappell (D-Fla.), then served on the staff of Rep. Elliott Levitas (D-Ga.) from 1976 to 1980. He then spent a year as administrative assistant to Rep. Andy Ireland (D-Fla.) before founding Fred M. York Associates in Washington.

He was a native of St. Petersburg, Fla., and a 1963 graduate of Stetson University in De Land, Fla. He was a member of Stetson's board of visitors. Before coming to Washington, Mr. York had been public relations director of Stetson and had served with the Army in Vietnam.

He was a member of the Capitol Hill Restoration Society and was a past secretary of the Florida State Society.

Mr. Richley had lived in Washington since moving here from his native Philadelphia about two and a half years ago. He had been an administrator with the Greater Southeast Community Hospital for the past two weeks. Before that, he had worked for the Northern Virginia Dialysis Center in Alexandria.

He was an Army veteran and had attended Villanova University. He also had studied for the priesthood at an abbey in Paoli, Pa. He had worked in hospital administration in Philadelphia before moving here.

Survivors include a brother, Don, of Philadelphia.

Mr. York's survivors include his mother, Mary W. York, and a sister, Mary Anne York, both of St. Petersburg.