Occult means something that is hidden.
Paranormal means something that is beyond our normal physical experience and does not conform to current scientific proof.
What is beyond the current world view and accepted as normal, is hidden and not yet revealed as true.
Modern medical practice would appear to be both occult and paranormal to people of the ancient world.
Stories of aliens visiting our planet are seen as occult and paranormal by a sceptical human society.
The spirituality of an early pagan religion is now confused with an occult and paranormal religion called witchcraft.
Both the Ancient Greeks and the peasants of Ancient Britain worshipped the Paganism of Mother Earth & Nature.
Much of the history of the Central American Civilisations of the Aztec, Maya & Toltecs is being translated today as both occult and paranormal.
Whatever we do not understand, or do not yet understand the meaning of, is beyond our understanding of normal and its true meaning remains hidden to us.
It is therefore by definition defined as being occult & paranormal by the very people who do not understand it.