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.
16 Week Curriculum With Instructions, Lesson Plans & CNG Conversion Kit