Chelios and his wife Tracee were married in 1987. They met while students at the University of Wisconsin–Madison. They have four children: Dean (born 1989), Jake (born 1991), Caley (born 1993), and Tara (born 1996). Dean Chelios, a forward, scored a pair of power play goals to help his Cranbrook-Kingswood high school team win the 2006 Division III Michigan state high school hockey championship. Dean played for the Chicago Steel of the USHL in Bensenville, Illinois, and last played in 2016 for the Wichita Thunder of the ECHL. In May 2009, Jake was drafted by 49th overall by the Chicago Steel, and joined his brother at Michigan State. Jake Chelios, is a defenseman like his father and currently plays with the Grand Rapids Griffins in the Detroit Red Wings organization. Caley graduated from Northwestern University and is currently a reporter for the Tampa Bay Lightning.