The Game of Thrones and Lord of the Rings star attended London's Holborn police station on May 9 by pre-arranged appointment.
Bean reportedly had fingerprints and DNA taken during the appointment, and was released on bail while detectives investigated the allegations further.
The actor has now been informed that he will not face prosecution, the Daily Mail reports.
"He was told he would face no further action," a spokesperson for Scotland Yard confirmed.
Bean and Sutcliffe were married at Marylebone Registry Office in London on February 19, 2008.
The former couple separated in August 2010 and were officially divorced in December of that year, citing irreconcilable differences.