law officer vs peace officer

law officer and peace officer both are nouns.

Word	Noun	Adjective	Verb	Adverb
law officer	Yes	No	No	No
peace officer	Yes	No	No	No

As nouns, law officer and peace officer are synonyms defined as:

Other synonyms of law officer include lawman.

law officer (noun)	peace officer (noun)
an officer of the law	an officer of the law