The Kings carried an 87-70 lead into the fourth quarter.
A 3-pointer by Wilson Chandler pulled the Nuggets to 94-84 with 6:41 left, but the Kings scored the next nine points, including another three-point play by Gay.
The Nuggets opened a 13-point lead midway through the second quarter. Fournier connected on two 3-pointers and Jan Vesely, making his home debut after being acquired Thursday from Washington, broke through for a pair of dunks.
Sacramento pulled to 52-48 at halftime, outscoring the Nuggets 8-1 in the last 2:10 of the second quarter, with Gay driving for a dunk to close the spurt.
NOTES: Nuggets F Darrell Arthur missed the game after he strained his left hip during Friday's loss at Chicago. ... The Kings announced that Jason Terry, who was acquired from Brooklyn with Reggie Evans in exchange for Marcus Thornton, will miss the rest of the season so he can continue rehabilitating a knee injury. ... Sacramento has scored 100 or more points in three of its last four games. ... Gay surpassed 20 points for the third time in four games. ... Fournier's 27 points were a career high, surpassing his previous best by two.