employment office vs employment agency

employment office and employment agency both are nouns.

Word	Noun	Adjective	Verb	Adverb
employment office	Yes	No	No	No
employment agency	Yes	No	No	No

As nouns, employment office and employment agency are synonyms defined as:

employment office and employment agency: an agency that finds people to fill particular jobs or finds jobs for unemployed people

employment office (noun)	employment agency (noun)
an agency that finds people to fill particular jobs or finds jobs for unemployed people	an agency that finds people to fill particular jobs or finds jobs for unemployed people