Drew Doughty had a third-period goal and an assist, and Jonathan Quick made 24 saves as the Kings returned to Staples Center with an impressive two-way effort against the defending Stanley Cup champions.
Captain Jonathan Toews scored twice in the first period for the Blackhawks, but they didn't score again until Patrick Sharp's goal with 5 seconds left.
Corey Crawford stopped 28 shots for the Blackhawks, who have lost the first road game in 10 consecutive playoff series since 2010.
Game 4 is Monday night at Staples Center.