The Daily Sentinel reported Monday that the court last week rejected David Relaford’s arguments that the jury was unfairly biased at his trial.
The 46-year-old Grand Junction man was convicted in 2014 of kidnapping and 26 counts of sexual assault on a child.
The charges stemmed from the abuse of two children in 2011.
The appeals court previously rejected his arguments that his court-appointed lawyer was ineffective.
He claimed the attorney allowed prosecutors to withhold evidence and make improper statements during trial.
Relaford is incarcerated at the Sterling Correctional Facility.