Canon Jeremy Pemberton's claims were dismissed by Nottingham Employment Tribunal in November 2015.
A judge ruled he was not discriminated against by the Church of England after he was refused a job for being in a gay marriage.
The tribunal said that "the constitutional convention means that the State cannot impose same sex marriage upon the Church".
After entering a same-sex marriage he had his right to officiate removed by the then acting Bishop of Southwell and Nottingham, Richard Inwood.
The clergyman then had a job offer as a chaplain for Sherwood Forest Hospitals Trust withdrawn, which he claims was caused by the Church of England discriminating against him because of his sexual orientation.
Revd Pemberton told the BBC his appeal will be held over two days "later in the year", but it will not consider any new evidence and will only look at legal arguments.
"I heard from the Employment Appeal Tribunal that they accepted my application for an appeal," he said.
"It's important to appeal because this is a test case and test cases need testing. The judgement given in the tribunal had some things my lawyers felt needed further testing."