West Sussex Fire and Rescue Service attended the scenes and confirmed that the vehicles had been deliberately ignited.
Officers received calls at 1.50am, 2am and 3am.
A spokesperson for Sussex Police confirmed that investigations are being made to see if there is a link between the three incidents.
A search was conducted at the scene but no suspects were caught, according to police.
The first car was a green Ford Fiesta, the second a silver Ford Puma. The make and model of the third vehicle have not been reported as of yet.
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