criminal suit vs lawsuit

criminal suit and lawsuit both are nouns.

Word	Noun	Adjective	Verb	Adverb
criminal suit	Yes	No	No	No
lawsuit	Yes	No	No	No

As nouns, lawsuit is a hypernym of criminal suit; that is, lawsuit is a word with a broader meaning than criminal suit:

criminal suit: a lawsuit alleging violations of criminal law by the defendant
lawsuit: a comprehensive term for any proceeding in a court of law whereby an individual seeks a legal remedy

Other hypernyms of criminal suit include case, causa, cause, suit.

criminal suit (noun)	lawsuit (noun)
a lawsuit alleging violations of criminal law by the defendant	a comprehensive term for any proceeding in a court of law whereby an individual seeks a legal remedy