The incident occured after Rudd finished seventh in the Winston Cup Series Chevy Monte Carlo 400. Rudd was fined $5,000 and Lackey $10,000. Both were placed on probation until Dec. 31.
Rudd and Lackey were penalized under Section 12-4-A of the Winston Cup series rule book for "Actions detrimental to stock car racing: involved in an altercation with a team member."
Lackey, a crew member, also was penalized for fighting.
"In every fight there has to be an aggressor and a retaliator," Winston Cup Series director John Darby said. "The incident between Larry and Ricky took place in the garage area and we as a sanctioning body govern the pits and garage. We will not tolerate people hitting each other in those areas."
Rudd has earned over $3 million on the circuit this season and is ninth in the Winston Cup standings. He collected his 23rd career win earlier this year at the Dodge/Save Mart 350.
Notable deaths of 2014 [PHOTOS]