The couple initially met six years ago while filming the horror flick “Case 39,” but did not become romantically involved until 2009.
Reps for the actors were not immediately available for comment on the reported breakup when contacted by Access Hollywood on Friday.
As previously reported on AccessHollywood.com, both stars have short-lived marriages in their past.
Renee married country superstar Kenny Chesney in May 2005, but filed for divorce just four months later citing “fraud” on the court papers at the time.
Bradley, 36, married “Blue Bloods” actress Jennifer Esposito in late December 2006 – but the couple split in May 2007.
Additionally, the handsome “Limitless” actor was interviewed by shock jock Howard Stern on Monday and was reluctant to answer any questions regarding his relationship with Renee.
“I’m not going to talk about that,” Bradley told Howard, when asked about his love life at the time. “I just don’t talk about it… certain things are just — you understand that.”