A representative for the 34-year-old actress denied that the couple are planning to split by terming the reports as "not true", reported New York Daily News.
The 'Bride Wars' actress got engaged to the Muse frontman in 2011. The same year they welcomed their son Bingham Hawn Bellamy.
The actress had earlier said that she had no plans of walking down the aisle anytime soon.
"I'm planning nothing right now. I'm so busy, we've been so busy, and it's been great. I come from an unconventional family-they're not married, my parents aren't married," she had said at the time.