The 76ers repeatedly made perimeter shots in the final period, when they built the lead to double digits to put together back-to-back wins for the first time since Oct. 30-31.
Donte Greene and Omri Casspi each scored 21 points for the Kings, who have lost three of their last four home games. Jason Thompson had 15 points and 11 rebounds, and Sergio Rodriguez also scored 15 points.
The Kings played their second straight game without rookie guard Tyreke Evans, who is nursing a sore ankle and is day to day.
Andre Iguodala scored 10 of his 19 points in the fourth quarter, and also had nine assists and seven rebounds for the 76ers, who connected on 9-of-16 3-pointers. Rodney Carney and Elton Brand scored 14 points apiece.
Carney opened the fourth quarter with a pair of 3-pointers, and a jumper by Williams gave the 76ers a 90-81 advantage with 9:40 remaining. With the Kings missing open looks throughout the period, the 76ers' lead grew to 107-95 when Iguodala made a follow shot with 3:34 left.
Iverson took over in the third quarter, when the 76ers assumed a 79-76 lead. He had 11 points, scoring on a variety of shots, including a 3-pointer that put Philadelphia in front 72-70.
The Kings squandered an 11-point lead after one quarter and were outscored 33-22 in the second. The aggressive inside play of Brand, who scored 11 points, helped fuel the 76ers' comeback. Casspi had 11 points for the Kings.
NOTES: In the offseason, 76ers coach Eddie Jordan was an early candidate for the Kings head coaching job, but took the offer from Philadelphia instead of waiting for the Kings to end their search, which resulted in the hiring of Paul Westphal. Carney scored 12 points in his first 10 minutes off the bench, all of them coming via four 3-pointers. Iverson entered the game 1 for 3 this season in 3-point attempts, but made two in the third quarter.