Gibson married JoAnn Sklarski on December 22, 1985, in a double ceremony where Tiger pitcher Dave Rozema married JoAnn's sister Sandy. They were married at Grosse Pointe Memorial Church in Grosse Pointe Farms, Michigan. The Gibsons reside in Grosse Pointe, Michigan, and have four children: Colleen, Cam, Kirk, and Kevin. Gibson's son Cam was drafted by the Detroit Tigers in the 5th round, 160th overall, in the 2015 Major League Baseball draft. His son Kevin is a defenseman for the Fort Wayne Komets in the ECHL.