The court dismissed Reyat's application for leave to appeal without costs, the court said on its website.
The court, however, granted his motion for an extension of time to serve and file the application for leave to appeal, the release said.
While 329 people were killed on the Air India flight, a second bomb had exploded prematurely that same day, killing two baggage handlers at Tokyo's Narita Airport.
Reyat was later convicted of lying under oath at another trial of two men acquitted in planning the bombs and was handed nine years in prison.
Reyat was convicted of perjury and handed a nine-year sentence for lying during the trial of Ripudaman Singh Malik and Ajaib Singh Bagri.
Both men were acquitted. The Supreme Court of Canada has not given any reasons for its decision.