mitsvah vs commandment

mitsvah and commandment both are nouns.

Word	Noun	Adjective	Verb	Adverb
mitsvah	Yes	No	No	No
commandment	Yes	No	No	No

As nouns, commandment is a hypernym of mitsvah; that is, commandment is a word with a broader meaning than mitsvah:

Other hypernyms of mitsvah include precept, teaching.

mitsvah (noun)	commandment (noun)
(Judaism) a good deed performed out of religious duty	a doctrine that is taught
(Judaism) a precept or commandment of the Jewish law	something that is commanded