Rivers went 11-of-22 through the air for 165 yards for the Chargers (6-9), who won for the second time in three games.
Greg McElroy started behind center for the Jets (6-9) in place of the benched Mark Sanchez and responded by completing 14-of-24 for 185 yards with an interception and a fumble lost in his first NFL start.
Shonn Greene was limited to 38 rushing yards on 14 carries as New York dropped its second straight.
Notable deaths of 2014 [PHOTOS]
UPI Sports Results for September 19, 2014