The British drummer had signed up to compete in the Tough Mudder challenge, a 13-mile (20.9-kilometre) obstacle course designed by the Special Forces to test strength and stamina.
Judd took to his Twitter.com page to explain his decision to sit out the race, citing his ongoing tour commitments.
He tweeted, "Unfortunately I've had to pull out of the Tough Mudder today. In hindsight doing a 12 mile assault course with 25 military obstacles in the middle of a tour wasn't the best idea."
Judd, who ran the London Marathon last month (Apr13), vowed to complete the Tough Mudder before the year (13) is up.