The British filmmaker, who is a fan of the 2000AD comic book character, revealed to Man Made Movies that he was sent the script for Alex Garland's adaptation before Vantage Point's Pete Travis was named as director.
Jones admitted that he didn't want to make Garland's script because it didn't match his specific vision for the character.
"I would have loved to do the Judge Dredd movie that is under way," he said. "I was in fact sent the script to look at. It's a great script, and I hope I will not rue the decision of passing on it. Thing was, I had such a strong idea of what I wanted to do with a Dredd movie, I could not bring myself to take it on and not do it my way!"
He continued: "My Dredd would have been really weird, and dark and funny, but not your traditional introduction to a hero character. I don't even know if I could have made my version of the film pitch-able. It was maybe too off the wall."
Karl Urban will lead the cast of the new Judge Dredd project, which is scheduled to begin production in the autumn.
Jones's next movie, sci-fi thriller Source Code starring Jake Gyllenhaal, will be released next year.