The Take That singer, 36, and the US actress exchanged vows in an intimate ceremony at their Beverly Hills home on Saturday.
There were 75 guests and Robbie's friend Jonathan Wilkes, 32, was best man at the white and silver-themed nuptials.
Although security was tight at the wedding because the couple have agreed a deal with a magazine, Ayda, 31, was pictured looking stunning in crinoline-style white strapless wedding dress with a jewelled bodice.
She wore a garland in her curled hair and carried a bouquet of roses and orchids.
It's thought Robbie's Take That bandmates Gary Barlow, Mark Owen, Jason Orange and Howard Donald were unable to attend because they had already booked family holidays.
Robbie and Ayda, 31, have been dating since 2007.
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