The win was the third in four games for the Bobcats, who are 9-6 since Paul Silas was named interim head coach on Dec. 22 replacing Larry Brown.
Brown had 13 points and his 18 rebounds were one short of his career high, which came as a Washington Wizards in a March 17, 2004 victory over the Kings.
Gerald Wallace scored 19 points and D.J. Augustin added 16 for the Bobcats.
Kings rookie center DeMarcus Cousins fouled out midway through the fourth quarter, finishing with nine points and three rebounds in 20 minutes.
With the Bobcats lead cut to three points, Wallace drove inside for a layup and Jackson followed with a jumper to put the Bobcats ahead 85-78 with 5:14 left. Mistakes down the stretch and missed shots prevented the Kings from getting the lead under five points the remainder of the game.
Playing one night after an inspiring win in Portland, the Kings looked lethargic through three quarters. But they finally showed some energy to start the fourth quarter. A layup by Beno Udrih and a tip-in by Landry cut the Bobcats lead to 79-76 at the 8:20 mark.
Owners of the NBA's third-worst record, the Kings were looking to win back-to-back games for only the second time this season and first time since Oct. 30 and Nov. 1.
It was the first of six road games for Charlotte. The Bobcats will face only one team with a winning record during their longest road trip of the season that concludes Feb. 2 in Detroit.
The Bobcats relied on Jackson and Brown to maintain a comfortable lead in the third quarter. Jackson scored nine points and Brown was active on the boards, getting 11 rebounds in helping Charlotte take a 76-67 lead into the fourth.
Wallace had 10 of his 13 points in the second quarter when the Bobcats built a double digit lead and went into halftime with a 52-42 advantage. Evans scored nine points for the Kings, who shot 32 percent in the opening half.
Notes: Charlotte forward Eduardo Najera came off the bench and had three fouls in five first quarter minutes. He finished with five fouls in 15 minutes. ... Bobcats owner Michael Jordan and general manager Rod Higgins occupied courtside seats alongside the team's bench. ... Wallace, who was drafted by the Kings in 2001 and played three seasons in Sacramento, averaged 29.5 points in the previous four games against the Kings.