registration certificate; registration card
An official document or card proving that something or someone is registered. Common in administrative and legal contexts.
I received my new address registration certificate at the city hall.
この登録証がないと、施設を利用できません。
You cannot use the facility without this registration card.
The city office issued a registration certificate to the new resident.
Please present your registration certificate at the entrance.
The registration certificate's validity expires next month.
証明書 is a general term for any certifying document, while 登録証 specifically certifies that something has been registered.
counter for thin, flat objects; sheet; plate; coin · serving of soba; portion of gyōza · sumo rank position; wrestler at a given rank · field; rice paddy plot · palanquin bearer
Compound of 登録 (registration) + 証 (certificate, proof).