Pictures posted online showed the car on its right side on an Arizona street, next to another badly damaged vehicle.
The car - a Volvo SUV - was in self-driving mode at the time of the crash, on Friday, Uber said. No one was hurt.
A spokeswoman for the police in Tempe, Arizona said the accident occurred when another vehicle "failed to yield" to the Uber car at a left turn.
"There was a person behind the wheel. It is uncertain at this time if they were controlling the vehicle at the time of the collision," spokeswoman Josie Montenegro said.
Uber's self-driving cars always have a human in the driving seat who can take over the controls.
The company pulled its self-driving vehicles off the road in Arizona at first, followed by test sites in Pennsylvania and California - all three states where it operated the vehicles.
The incident follows a tumultuous few weeks for the car-hailing app service, after several negative stories about workplace practices and ethics.
A number of executives have quit in recent weeks, including the president, Jeff Jones.
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