Donald Milani was initially charged in 1987, but was acquitted on one count and had the other charges dismissed at a preliminary hearing.
Police, however, kept the case on their radar as DNA testing evolved and improved.
In 2010, they again arrested the Ignace, Ont., man but a judge stayed the charges, saying there were unreasonable delays in the case.
The Ontario Court of Appeal overturned that ruling and Milani appealed to the high court.
As usual, the Supreme Court gave no reasons for refusing to hear the case.