Here is what Brandon had to say about the meanings of several Incubus songs.
INCUBUS: (Latin for "nightmare") In medieval European folklore, the incubus is a male demon (or evil spirit) who visits women in their sleep to lie with them in ghostly sexual intercourse.
When asked why they named the band Incubus,
Mike: Because it is a silly sounding word.
Brandon: Because we were 15 and we had to think of a name in a short amount of time. The definition had sex in it, and being 15, we were like, "Cool!"