The couple tied the knot at 38-year-old Moss's countryside mansion last July. They will begin their road trip with Hince's band 'The Kills' in May before heading to the UK festival to say 'I do' once more, reported Contactmusic.
"Kate is going to spend some time with Jamie on 'The Kills' tour next month. After that they're going to try to squeeze in a holiday to Sri Lanka for some time alone together.
Then a group of their friends are joining them on the Isle of Wight for a proper boozy wedding renewal celebration," a source said.
Moss, who already has nine-year-old daughter Lila Grace with ex-boyfriend Jefferson Hack, wants to start a family with Hince and they have moved into their new luxury home in London's Highgate.
"They're planning to have a child once they've settled in. They didn't want Kate to fall pregnant until they were in and settled," the source added.