Harvick started 23rd and finished ninth.
"The team did a great job keeping us in the game today," Harvick said.
He has never won a Cup race at Texas, but on Saturday night won his track high-matching fifth Nationwide Series race.
The parachute jumper wasn't injured after the less-than-perfect landing.
WELCOME TO THE CIRCUS: There was a circus atmosphere all weekend at Texas Motor Speedway.
As part of the track's new "Wild Asphalt Circus" theme, a ringmaster in the full garb introduced the drivers before Sunday's race.
There was a carnival set up in one of garage area's for season-ticket holders. Plus, outside the backstretch all week was a midway open to the public with a ferris wheel and other fair rides providing a backdrop to the racing.
SPARKPLUGS: A quartet of drivers have started all 24 Sprint Cup races at Texas: Jeff Burton, Jeff Gordon, Bobby Labonte and Mark Martin. The first race was in 1997, and Texas has hosted two a year since 2005. ... Actors Josh Henderson, Jesse Metcalfe, Julie Gonzalo and Jordana Brewster from the television show "Dallas" gave the command to start engines.