A photo on Twitter is said to picture crash of self-driving vehicle in Tempe, Ariz.
The vehicle in Tempe was in self-driving mode, according to people familiar with the incident.
Uber's self-driving auto program has also been mired in controversy.
Uber did not confirm whether there were injuries or if the vehicle was carrying passenger at the time of the crash.
The crash is the latest in a string of highly public incidents involving the ride-sharing company, which recently lost its president and is now being sued by Waymo over the theft of trade secrets.
The Uber vehicle did not cause the accident, and there were no serious injuries, the Tempe police told Bloomberg News. The person was behind the wheel but it's unclear whether they were controlling the SUV or not.
Last December, the California DMV shut down Uber's unlicensed self-driving auto program in reaction to footage of a prototype running a red light in front of pedestrian.
The company released a statement on the incident, saying they are "looking into" what happened. Waymo, Alphabet's autonomous driving business, sued an Uber unit called Otto earlier this year for allegedly stealing designs for an important component of driverless cars known as lidar.
The ride-hailing company's self-driving vehicle program has come under scrutiny lately. The company has since obtained a new test permit in California and started testing in the state again, but they also still have a fleet in Arizona - hence the accident yesterday.