Williams, 36, and Field, 31, married in front of family and friends in the grounds of their Beverly Hills home on Saturday, the singer’s spokesman said.
There was tight security for the ceremony, after the couple agreed a deal with Hello! magazine.
Field has appeared in US TV series including Days of Our Lives and Studio 60 on the Sunset Strip.
Black buses with tinted windows were used to ferry in the guests. There were no fans outside, although some media helicopters flew overhead.
Before the news was officially confirmed, News of the World reporter James Desborough told BBC 5 live the paper had photos taken from a helicopter.
He said: “We got pictures of Ayda looking astonishingly beautiful going up an aisle which was created in the back garden of his Mulholland home.”
Williams was “dressed in a tuxedo really looking very dapper”, he added.
The couple have been together for more than three years.
Last year, the singer denied his mother’s apparent confirmation of the couple’s engagement.
They had appeared on an Australian radio show together in which the singer jokingly asked her to marry him.
The pair met through friends, prompting Williams to tell chat show host Jonathan Ross that he thought he would always be a bachelor until he got together with Field.
“I was introduced to Ayda and things just changed,” he said.
“She’s a wonderful person and I’m in love. She’s really broody and I’m getting there.”
Williams recently announced he was rejoining the line-up of Take That to record new material and go on tour. But his bandmates are not thought to have attended the ceremony.
The singer, who has won 15 Brit Awards, has previously been linked to model Rachel Hunter and was engaged to singer Nicole Appleton.
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