Chelios enters his 25th NHL season and his 10th with the Red Wings. He began his career with the Montreal Canadiens and also played for the Chicago Blackhawks. Last season, he became the second-oldest player in NHL history to appear in a game behind Gordie Howe.
Chelios has 948 points in 1,616 regular-season games.
Detroit also signed defenseman Kyle Quincey to a two-year deal. The 23-year-old appeared in six regular-season games for Detroit last season, alternating with the American Hockey League's Grand Rapids Griffins.