Jack Phillips on Wednesday asked the Court of Appeals to reverse the May ruling by the Civil Rights Commission. Phillips was sued by a gay couple after he refused to make a cake to celebrate their wedding in 2012.
An AP story earlier this year recounted the incident.
Phillips says he is deeply religious and that making the cake would violate the Christian principles by which he runs his business, Masterpiece Cake Shop.
The Commission said Phillips' refusal violated the state's public accommodation law that requires businesses to serve customers regardless of their sexual orientation. Phillips' attorneys argue that decision violates Phillips' First Amendment rights.
