It was just the second victory of the season for the Kings and came after they had lost five in a row. Brooklyn has dropped three straight and is in the midst of playing six out of eight on the road.
Sacramento led by 12 at halftime and expanded the advantage to 21 heading into the final period.
Thornton scored 24 points while Thomas had six rebounds and six assists to go with his 19 points. The Kings came up with 57 of their points from bench players.
The Nets shot only 37 percent from the field, hitting 3-of-13 from 3-point range. Brook Lopez paced Brooklyn with 16 points and nine rebounds.