Williams, 32, has played his entire career for the Packers since signing with the team in 2007. Last season, he had three interceptions and 71 combined tackles.
During his eight seasons in Green Bay, Williams had 465 tackles, 28 interceptions and five forced fumbles.
The Browns finished No. 8 in passing defense last season and No. 2 in interceptions, led by Tashaun Gipson's six picks.
- Paul Palladino