Kobe Bryant was at the game but did not play for the Lakers. Bryant, who is recovering from knee surgery, practiced with the team Friday and Saturday.
Kevin Martin had 14 points, Ronnie Price scored 11 and John Salmons added 10 for the Kings. Bibby also had six rebounds and three assists.
Kwame Brown, who had a sprained right shoulder, also did not play for Los Angeles.
Ronny Turiaf led the Lakers with 15 points and seven rebounds. Brian Cook had 12 points and nine rebounds, while Lamar Odom added 12 points for Los Angeles, which is 2-2 in the preseason.
Salmons' three-point play with 2:38 left gave the Kings a 92-89 lead.
The Lakers were coached by Kurt Rambis. Head coach Phil Jackson will return for the regular season after having hip replacement surgery.