Jonas, 21, gifted his girlfriend with a vintage Chanel bracelet, but didn't actually know the designer.
"I just got the charm bracelet I'm wearing," Greene told E!Online. "It's vintage Chanel and the funny thing about it is when I got it, my boyfriend said its vintage Coach. It was very cute and sweet and adorable to me, because my boyfriend gave it to me. Coach, Chanel makes no difference to him?but to me this is amazing!"
In the "Twilight" films, Greene plays Alice Cullen, sister to Robert Pattinson's Edward character. She currently has six films in production, including the final two installments of "The Twilight Saga."
Greene recently said that she doesn't expect everyone to like her and acknowledges that some people don't.
"There will always be people who love me or hate me. That's why I try to focus on the positive," Greene said. "There's always going to be anti in this industry. But the thing is, I have dealt with anti before our relationship, and I will always have to deal with it."
Joe Jonas has been linked to actress Camilla Belle, Disney star Demi Lovato and singer Taylor Swift. Swift revealed on the "Ellen DeGeneres Show" that her heartbreak song, "Forever & Always" was inspired by him.
Greene recently signed on to star in Australian filmmaker Lian Lunson's film, "Boom Boom Room" alongside Christopher Walken and Shirley Maclaine. The film will be set in the desert of New Mexico and Greene stars as a young woman who goes on an adventure to dig up old family secrets and meets a pair of old vaudeville stars (Walken and MacLaine) who transform her life.
Greene stars in the upcoming comedy "Skateland," about a 1980s skating rink, which is set for a limited release on March 25. Greene also co-stars in the Miley Cyrus comedy "LOL," which is set for release on July 20, 2011.