Sharp, who had been sidelined the previous 16 games with a lower-body injury, also recorded an assist. Duncan Keith added three assists for Chicago, which holds fourth place in the Western Conference.
Rookie defenseman Drew Doughty scored for the Kings, who have dropped five of six games.
Blackhawks goalie Nikolai Khabibulin needed just 14 saves to pick up his 18th win of the season. Jonathan Quick blocked 28 shots for Los Angeles.