The 1996 Brickyard 400, the 3rd running of the event, was a NASCAR Winston Cup Series race held on August 3, 1996, at the Indianapolis Motor Speedway in Speedway, Indiana. The race was the nineteenth of the 1996 NASCAR Winston Cup Series season. Jeff Gordon of Hendrick Motorsports won the pole position with a speed of 176.419 miles per hour (283.919 km/h), while Robert Yates Racing's Dale Jarrett won the race.

Yates Racing was an American stock car racing team that competed in NASCAR through the 2009 season, after which it merged into Richard Petty Motorsports. Previously known as Robert Yates Racing, the team was owned by Doug Yates, who has officially owned the team since his father Robert's retirement on December 1, 2007. The Yates family owned the team since purchasing it from Harry Ranier and J. T. Lundy in October 1988.