Raminder Bhander was convicted in 2010 of killing a man in the victim's residence.
Bhander, who was described in court as a gangster and drug trafficker, argued police violated his rights while questioning him.
He also argued self-defence.
The trial judge and the appeal court rejected his charter arguments and now the Supreme Court has rejected his bid to appeal the matter.
As usual, the justices gave no reasons for refusing to hear the case.