Wiktionary
oneirophobia
n. The fear of dreams.
Wikipedia
Oneirophobia
Oneirophobia (from Greek όνειρο (oneiro), meaning "dream", and φόβος ( phobos), meaning "fear") is the fear of dreams. It is discussed in The Dream Frontier, a book by Mark Blechner, a neuro-psychoanalyst at the William Alanson White Institute.
The fear is suffered due to experiences with frightening dreams ( nightmares) or by negative events in the life affecting dreams. Sufferers try to avoid falling asleep.