A Certificate of Citizenship (Form N-560 or N-561) is a document proving someone has US citizenship. Usually, it is issued to naturalized citizens who acquired citizenship in the US, they were not born in America. Only individuals who obtained US citizenship either by action of law while residing in the United States or by having been born outside the United States to citizen parents may apply for a Certificate of Citizenship.
Is a citizenship certificate the same as a naturalization certificate?
A certificate of citizenship is only given to someone who obtain citizenship from their US parents. For example, a child born abroad to a U.S. citizen parent or parents. But a certificate of naturalization is given to someone who naturalized from another citizenship.