intuition vs belief

intuition and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
intuition	Yes	No	No	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of intuition; that is, belief is a word with a broader meaning than intuition:

Other hypernyms of intuition include feeling, impression, notion, opinion.

intuition (noun)	belief (noun)
instinctive knowing (without the use of rational processes)	any cognitive content held as true
an impression that something might be the case	a vague idea in which some confidence is placed