Patrick Sharp and Martin Lapointe also scored for the Blackhawks, and defenceman Brent Seabrook assisted on all three of Chicago's goals. Havlat, Chicago's leading scorer, had just five assists in 13 previous contests entering Friday.
Jason Chimera scored for Columbus, which lost for the second time in two nights.
Chicago's Patrick Lalime stopped 31 shots. Columbus' Brian Boucher, who started the season with the Blackhawks, made 22 saves, including a penalty shot by Chicago's Duncan Keith midway through the third.