The Roxy Music star travelled to the Cotswolds so he could sing at the wedding, where Moss married rocker Jamie Hince.
According to UK newspaper Daily Mirror, he said: 'We did the festival at Hop Farm in Kent, then they sent this enormous helicopter - I didn't know they existed that big - to pick me and the band up. We did the show at midnight.
'Her first dance was If There Is Something from the first Roxy Music album. Kate knows her Roxy onions - I'm very flattered she likes what we do. You do Avalon, and Love is the Drug, and Slave to Love is always a winner.'