Officers Georges Lebel and Gilbert Gagnon say they have waited too long for their day in court.
The two officers were accused of forging the signature of Daniel Audet, whose home they searched in February 2001.
But Audet says he never signed a document consenting to the search.
Six years passed between the time charges were filed in 2005 and the scheduled beginning of the officers' trial in 2011, which they claim violates their right to be tried within a reasonable time.
As is standard practice in the case of applications for leave to appeal, the Supreme Court did not give reasons for its decision.