nonprofit organization vs not-for-profit

nonprofit organization and not-for-profit both are nouns.

Word	Noun	Adjective	Verb	Adverb
nonprofit organization	Yes	No	No	No
not-for-profit	Yes	No	No	No

As nouns, nonprofit organization and not-for-profit are synonyms defined as:

nonprofit organization and not-for-profit: an organization chartered for other than profit-making activities

Other synonyms of nonprofit organization include nonprofit.

nonprofit organization (noun)	not-for-profit (noun)
an organization chartered for other than profit-making activities	an organization chartered for other than profit-making activities