Fletcher exchanged vows with Giovanna Falcone in London last May, and on Sunday, he shared a 14-minute clip from their reception which showed him singing the band's tracks to his new bride in lieu of a traditional speech.
The internet upload came just a day before photos of Judd's wedding to Izzy Johnston in December were released in Hello! magazine, but Fletcher insists the timing wasn't intentional.
In a post on his Twitter page, he writes: "I read that article about me posting it to try and 'steal Harry's thunder'. I had no idea his wedding article was coming out this week!
"If I'd have known I would definitely not have put it up. I only got our wedding video the week before Harry's wedding so I couldn't post it before. The Judds' wedding was before Christmas so thought it was safe to do it now. Ooops! Sorry. No harm intended!"