Immediately following the incident in the garage area at Las Vegas Motor Speedway, NASCAR had put Gordon on indefinite probation as it continued to look into his actions.
Gordon, driver of the No. 7 car, was penalized for "actions detrimental to stock car racing," according to a news release from NASCAR.
Gordon and Conway had a business relationship last year, and Gordon has claimed in recent reports that Conway owes him money. Gordon has filed a lawsuit against Conway.
Conway filed a battery complaint with police last Friday after the incident.
"On Friday night, Robby Gordon, who has a long history of issues in NASCAR decided to ambush me in the garage area at the Las Vegas Motor Speedway, completely unprovoked," Conway said Monday in a release. "Robby even confronted Joe Nemechek, my car owner, on pit road during Cup Series qualifying shoving him and telling him that he was looking for me and going to assault me. We have many witnesses including a crew chief that signed a police report documenting the truth of his physical attack on me."
Information from ESPN.com senior writer Terry Blount was used in this report.