After the two-year-old known as Baby M was removed from her home in May 2012, doctors declared her to be permanently comatose and recommended removing life support.
Her parents, who were charged with assault and criminal negligence in the case, fought the decision in court, citing their love for the child and their religious beliefs.
The courts sided with the doctors and the Supreme Court refused to stay the Alberta court order.
The child died shortly afterwards and her parents were charged with second-degree murder and criminal negligence causing death.
As usual, the Supreme Court gave no reasons for refusing to hear the appeal.
Note to readers: This is a corrected story. An earlier version had the death occurring this year
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