Clinton-Dix will replace safety Adrian Amos, who departed from Chicago after agreeing to a deal with the Packers this week.
The Packers originally drafted Clinton-Dix in the first round of the 2014 NFL Draft. He was a Pro Bowl selection and second-team All-Pro choice in the 2016 season.
Green Bay eventually traded Clinton-Dix to the Redskins on Oct. 30, 2018. He recorded 93 total tackles, three interceptions, one sack, two forced fumbles and six passes defensed in 16 regular-season games between the Packers and Redskins last season.
The 26-year-old safety has appeared in 80 games (74 starts) during his five NFL seasons and totaled 456 tackles, 14 interceptions, 5.5 sacks and four forced fumbles.