hope vs desire

hope and desire both are nouns.

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

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

Other hypernyms of hope include want.

As verbs, hope and desire are synonyms defined as:

Other synonyms of hope include trust.

hope (noun)	desire (noun)
one of the three Christian virtues	an inclination to want things
grounds for feeling hopeful about the future	the feeling that accompanies an unsatisfied state
the general feeling that some desire will be fulfilled	something that is desired
a specific instance of feeling hopeful
someone (or something) on which expectations are centered

hope (verb)	desire (verb)
intend with some possibility of fulfilment	feel or have a desire for; want strongly
be optimistic; be full of hope; have hopes	express a desire for
expect and wish	expect and wish