Busch was placed on probation through July 25 for his actions Saturday night.
NASCAR also fined Busch crew member Craig Strickler $5,000 for interfering with a member of Fox's broadcast team.
Newman crew chief Tony Gibson was placed on probation until June 27 for not controlling his crew members, and crew member Andrew Rueger was fined $5,000 for failing to comply with a directive from a NASCAR official.
The incident began when Busch got a flat tire that caused him to spin with six laps remaining in the race. He did a burnout through Newman's pit stall after stopping to repair his car.