Jason Thompson also contributed a double-double with 13 points and 11 boards for the Kings, who are now 2-11 on the road and have lost five straight contests.
Back-to-back three-pointers from Isaiah Thomas made the game close late in the fourth as the Kings trailed, 88-82, with 1:36 remaining.
Thomas would add another three with just 2.8 seconds to go as the Kings pulled within one, 91-90, but Rush calmly sank two free-throws before an Evans heave from half court was off the mark and the Warriors held on for the victory.
Rush's free throw with 3:07 left in the third sparked an 18-3 run for the Warriors, who were able to hold the Kings without a point for the first five- plus minutes of the fourth quarter as Golden State jumped in front, 76-68, with less than seven minutes to play.
The two teams traded buckets in the first quarter with Golden State picking up the early 24-23 lead at the end of the first.
Sacramento turned the ball over 11 times in a sloppy first half but the Warriors 3-of-11 shooting from long range allowed the Kings to maintain a 47-45 lead entering halftime.
Sacramento will host Portland on Thursday and Golden State will also be at home on Thursday against Utah...Rush's four three-pointers and six rebounds tied season-highs...Ekpe Udoh tied a season-high with four blocks...Sacramento dominated points in the paint 48-28...Sacramento outrebounded Golden State, 53-38.