The park stretches from Winchester in Hampshire to Eastbourne in East Sussex, and includes woodland, heathland, downlands and the white chalk cliffs at Beachy Head.
Fire crews were called to the blaze on Skye at 17:10 BST on Friday and found it rapidly spreading over an area of grass and heathland due to the dry conditions.
It has taken years of campaigning by small groups to open up public access to forest and heathland in the UK. Now this government wishes to sell off my property, against my wishes.
It is not known at this stage how the fire started, but swailing - a controlled burning of overgrown heathland to clear the ground and encourage new growth - can with prior approval be carried out on the moor until the second week of April.