Philip Rivers hurled a pair of scoring strikes on his way to 209 yards on 18-of-23 efficiency for San Diego (3-1), which struck for 17 first-quarter points and never looked back.
Antonio Gates made three grabs for 59 yards as the Chargers rebounded from a 27-3 loss to Atlanta last week.
Kansas City (1-3) was done in by six turnovers as Matt Cassel was picked off three times in the first half.
He managed to complete 24-of-42 passes for 251 yards and two touchdowns.
Celebrity Families of 2014 [PHOTOS]