The 1000 guests started laughing when the comedian appeared at the altar after he become legally ordained to marry the pop megastar and his friend, Kansas City Chiefs tight end, at their $US30 million ($A43 million) nuptials inside Madison Square Garden, New York City, on July 3.
Recalling the memorable moment on the latest episode of The Compound and Friends podcast, attendee American Century Investments CEO Jonathan Thomas told hosts Sean Russo and Downtown Josh Brown: "Adam Sandler officiated it. He came down, everybody laughed and thought it was a joke at first.
"But he probably spoke for 20 or 30 minutes, vacillated between funny, very sincere, sang a few things during his officiating process.
"There are two things that I remember distinctly; one is in your typical vows the officiator says, 'For rich or for poor,' and he said, 'You're not going to have to worry about that'."
According to Thomas, Sandler told the bride and groom to "kiss each other every day, in the morning, at night after dinner, just kiss often".
Kelce went first with his vows, speaking for 30 minutes.
"He made himself unbelievably vulnerable. I was sitting there crying, and I was trying to hold it back, until I looked around, and there's all these 300-pound men from the football business crying as well, so I felt really comfortable to let go on it.
"I mean, it was very, very powerful.
"And then Taylor went, and she also wrote her own vows. She probably spoke for 30 minutes, and it was poetic. It was really well done.
"The vows and the ceremony were very solemn, very sincere, very emotional."
Thomas said the wedding was an unforgettable experience.
"You would never guess you're in Madison Square Garden the way they did; it was incredible, but you walk through this castle that they built, and behind it, they had all sorts of games, amazing giveaways to people, and then the stage.
"Initially, Taylor and Paul McCartney sang, and then Taylor and Stevie Nicks sang.
"And then for the rest of the night, everybody, the whole entertainment industry - I kept saying if something happens to this building, the entertainment industry in the US is gone – they just popped up on stage and sang songs."
"At one point, I was dancing with my wife, and without any exaggeration, I had Paul McCartney to my left, Brad Pitt in front of me, Cindy Crawford on [the right].
"We're just surrounded by legends."
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