They have it as $18 on the hotel website. That seems the going rate around the area. I am a diamond member of Hilton's reward program and they did not charge me for parking for my stay. Honestly, I don't know if that is a perk for my Hilton Honors level or if they just missed it.
As a guest of the hotel there is no charge, but make sure you notify reception of your license plate number of you may get towed
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