alms box vs poor box

alms box and poor box both are nouns.

Word	Noun	Adjective	Verb	Adverb
alms box	Yes	No	No	No
poor box	Yes	No	No	No

As nouns, alms box and poor box are synonyms defined as:

alms box and poor box: box for collecting alms, especially one in a church

Other synonyms of alms box include mite box.

alms box (noun)	poor box (noun)
box for collecting alms, especially one in a church	box for collecting alms, especially one in a church