Power, who set up the Mean Fiddler club in London, was found to have been hosting events without a proper licence. He has been running Hop Farm in Kent since 2008.
Documents from the Performing Rights Society for Music (PRS) claim 31 of its members performed at Hop Farm between 2009 and 2012.
A statment from PRS reads: “A licence is required for any event except a family or domestic gathering, such as a wedding reception or birthday party.”
Acts to have played at Hop Festival, which was last year cancelled due to poor ticket sales, include Florence and the Machine.
Power, 67, failed to file a defence, so the judge made the order in his absence.
Power has been banned from playing music in public until he brings his licences up to date. Failure to uphold the ban could lead to contempt of court which could mean extra costs and a possible prison sentence.