The Warriors' lead was cut to five points in the fourth, but they responded by scoring eight straight points, building the lead to 96-83 with just under 2 1/2 minutes left.
After scoring 20-plus points in the first two games, Kings center DeMarcus Cousins made 2 of 10 shots and had eight points and nine rebounds.
Thomas scored inside and was fouled on the play by Curry. Thomas made the free throw to complete the three-point play, cutting the lead to 88-83 with 4:43 left.
After two home victories to open the preseason, the Kings looked sloppy offensively throughout the game. They committed 23 turnovers and shot 33 perccent.
The Warriors enjoyed an energized first half, outplaying the Kings. Curry scored 12 points and Thompson had 10. Thomas scored 10 points for Sacramento, which shot 34 percent.
Earlier in the day, the Kings announced that they exercised the 2013-14 contract options of Cousins and guard Jimmer Fredette.
The San Antonio Spurs were in rare form in their demolition of the Oklahoma City Thunder on Saturday, but they refuse to rest on their Game 1 showing.
A disappointing 32-point loss for Oklahoma City in Game 1 of its series with San Antonio leaves the Thunder searching for answers.
When asked how he felt after Game 1 against the Spurs, Kevin Durant simply responds "I'm not telling you." When prodded a little more, he adds that they just need to move on to the next matchup instead of focusing on this one.