The Take That singer, 36, and the US actress, 31, exchanged vows in front of 60 guests at their Beverly Hills home on Saturday.
'Thank you so much for your well wishes... it means a lot to me and us,' say Robbie.
'It seems like there's going to be a happy ending after all.'
Robbie says his life couldn't get any better now that he's decided to rejoin Take That.
'I'm the happiest professionally that I've ever been,' he writes on his blog.
'Not only have I gained a wife but I've also got four brothers now too.'
Robbie and Ayda have been together since 2007.