The Lookout has its own private car park at the rear of the hotel, reserved for guests and available on a first-come, first-served basis. The car park is accessed via Conduit Hill, the cobbled street off Cinque Ports Street behind the hotel.
If you're arriving with lots of luggage, it's often easier to drive up into the High Street and stop briefly on the cobbles at the front of the hotel, just beyond the Landgate, to unload before parking. This gives you convenient access to the entrance.