The Clippers won for the seventh time in eight games, bouncing back from a five-point loss to the Los Angeles Lakers 24 hours earlier.
Tyreke Evans hit two foul shots that brought the Kings within a point with 18 seconds to go, but the Kings could not manage another point.
Foye scored 20 points to lead the Clippers, who improved their lead to two games over Memphis and Dallas in the race for home-court advantage in the first round of the playoffs.
Senate Democrats to pull all-nighter on climate change
Interpol investigating stolen passports on missing flight