According to police, Lance Armstrong left the scene in the ski resort of Aspen, Colorado, before officers arrived.
According to recent reports, his girlfriend Anna Hansen told police she was driving, before changing her story.
Lance Armstong, 43, who was stripped of seven Tour de France titles for doping, faces court on March 17.
He could face a fine and up to 90 days in jail if convicted of the charges of leaving the scene and driving too fast for the snowy conditions.
Anna Hansen, 33, who lives in Aspen, was initially cited for the incident after telling police she had been driving the couple home from an Aspen Art Museum party.
She claimed to have lost control and hit two parked cars, before speaking to the owner and offering to pay for the damage, the police report said.
The Aspen Daily News reported that the couple had made the “joint decision” to avoid negative headlines.
Officers then spoke to the valet at the event, who said Lance Armstrong had driven away from the gala.
On January 12, the charges were transferred to Lance Armstrong. Anna Hansen will not face charges.
Lance Armstrong was stripped of his seven Tour de France victories and banned for life from racing in 2012 by the US Anti-Doping Agency after he admitted using performance-enhancing drugs.
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