A photo from the Italian website La Nuova showed the car's windshield cracked.
A fire extinguisher can be seen on the road but no people are visible.
Clooney was travelling towards the set in Costa Corallina when a auto suddenly turned and struck him, according to La Nuova.
The famous actor was taken to an emergency room in nearby Olbia, however, his injuries are said not to be serious.
The Batman and Robin star is staying in Sardinia for the summer with his wife, Amal, and their one year old twins, Ella and Alexander, while he films for TV series, Catch 22.
He was joined by wife Amal Clooney and it has been reported that the pair left the hospital together in a private auto.
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Clooney, 57, plays US Air Force commander Scheisskopf in the World War Two Channel 4 drama, based on Joseph Heller's classic novel.
Police had no immediate information and calls and emails to Clooney's spokesman weren't immediately returned. According to CNN, the Oscar victor was thrown over the top of his scooter after being hit by a Mercedes while in Olbia on the island of Sardinia.
The A-list couple are believed to have brought their parents to the island to help care for the children while George works.
Sardinia is a large Italian island in the Mediterranean Sea and is over 500 miles from Clooney's villa in Lake Como.
The move comes after it was announced in April that the actor was going to be reducing his role in the production so that he could concentrate on directing and producing.
Parts of this first appeared on The Sun and are republished with permission.