Oscar Winner Tilda Swinton Addresses Offbeat Love Life

Tilda Swinton, who won a Best Supporting Actress Oscar for her icy performance in "Michael Clayton," addressed her offbeat love life Sunday, saying her young lover and the father of her children are "close friends."

The willowy, redheaded actress has twins with Scottish artist and playwright John Byrne, 68, while traveling the world with New Zealand painter Sandro Kopp, 29. The relationships have become fodder for the British press, who have called Swinton's personal love life "a ménage a trois style arrangement."

Swinton, 47, appeared taken aback when one reporter asked her about what he called her "unconventional" love life.

She responded that she was raising her children with Byrne while living with Kopp, her "sweetheart" of three years.

"I think it's extraordinary that we're all really close friends," she said.

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The actress chose to bring Kopp to the awards ceremony on Sunday.

Swinton built her career on offbeat and dark roles, but you'd never know it by the way she accepted her Oscar.

"I have an American agent who is the spitting image of this — really, truly the same shaped head and, it has to be said, the buttocks. And I'm giving this to him because there's no way I would be in America at all," Swinton said, comparing the Oscar statuette to her agent, Brian Swardstrom. "I'm giving this to you."

Swinton, who played the White Witch in 2005's "The Chronicles of Narnia: The Lion, The Witch and the Wardrobe" and appeared in "Orlando" and "The Deep End," also took a good-natured swipe at her "Michael Clayton" co-star.

"George Clooney, you know, the seriousness and the dedication to your art, seeing you climb into that rubber bat suit from 'Batman and Robin,' the one with the nipples, every morning under your costume ... on the set, off the set, hanging upside down during lunch. You rock man."

Backstage, Swinton said she was "so stoked, as they say, I think it's fantastic. ... I'm amazed I'm still standing. But I'm not complaining. It's good."

Swinton was born in London into a patrician Scottish military family. She noted that other non-American actors were taking home the gold Sunday, including Javier Bardem for "No Country for Old Men."

"Dude, Hollywood is built on Europeans," she said. "Don't tell everybody, but we're everywhere."

Swinton has appeared in dozens of films since the mid-1980s, with her choices often art-house and avant-garde projects.

She was introduced to wider audiences as the autocratic leader of an island commune in Leonardo DiCaprio's "The Beach," following that up with other big-name projects "Vanilla Sky," starring Tom Cruise, and "Adaptation."

She was a first-time nominee for "Michael Clayton."

Click here for more on Swinton's love life at the Daily Mail.

The Associated Press contributed to this report.