wish vs desire

wish and desire both are nouns.

Word	Noun	Adjective	Verb	Adverb
wish	Yes	No	Yes	No
desire	Yes	No	Yes	No

As nouns, desire is a hypernym of wish; that is, desire is a word with a broader meaning than wish:

As verbs, desire is a hypernym of wish; that is, desire is a word with a broader meaning than wish:

Other hypernyms of wish include want.

As verbs, desire is a hypernym of wish; that is, desire is a word with a broader meaning than wish:

Other hypernyms of wish include want.

wish (noun)	desire (noun)
the particular preference that you have	an inclination to want things
an expression of some desire or inclination	the feeling that accompanies an unsatisfied state
(usually plural) a polite expression of desire for someone's welfare	something that is desired
a specific feeling of desire

wish (verb)	desire (verb)
invoke upon	feel or have a desire for; want strongly
order politely; express a wish for	express a desire for
make or express a wish	expect and wish
feel or express a desire or hope concerning the future or fortune of
to hope, to desire or to prefer to have something, or to do something