Rev Simon Carver's speaking after La La Land was mistakenly named Best Picture, with the cast and crew even delivering their acceptance speeches and celebrating on stage before it was announced Moonlight had in fact won the award.
The minister said the organisers only had one job to do, and yet still managed to do it wrongly.
It transpired Warren Beatty, who was announcing the award, was given the wrong envelope to read out. PwC, the accountancy firm in charge of the smooth operation of the Oscars ceremony, has apologised for the mistake.
Naomie Harris, a British actress who starred in Moonlight, later said the gaffe was "a real shame" because it mean the cast and crew didn't have sufficient time to give their own acceptance speeches.
Mahershala Ali won Best Supporting Actor for his role in Moonlight.
Viola Davis won Best Supporting Actress for her role in Fences, while Casey Affleck won Best Actor for his role in Manchester by the Sea.
Speaking on Inspirational Breakfast, Rev Simon Carver said: "It's extraordinary, isn't it? They had one job to do, to put the right envelope in the right person's hand, and they mess it up.
"It's really not the first time this sort of thing has happened. It happened at the Miss Universe, which was perhaps more embarrassing when it was just two people."
Meanwhile Hacksaw Ridge, the film about a Christian who refused to carry or fire a weapon in World War II, came away with two Oscars: Best Film Editing, Best Sound Mixing.
It wasn't all bad for La La Land, though. It won:
Best Actress (Emma Stone)
Best Director (Damien Chazelle)
Best Original Music Score
Best Production Design