Surrey Police said the luxury car was driven by a man who had a male passenger with him.
A man and a woman were travelling in the Astra.
The accident occurred at 1440 GMT and the road was closed until 1630 GMT.
The eight-litre, hand-crafted Veyron has a top speed in excess of 250mph.
The 1,000 horsepower Bugatti can accelerate from 0 to 60mph in 2.5 seconds.