Do both people staying in the hotel have to provide ID cards?

Must drop! If you don't have an ID card, you can go to the police station in the area where the hotel is located and issue a temporary id card to stay in the hotel.

"Measures for the Administration of Public Security in Hotel Industry" Article 6 A hotel must register when receiving passengers' accommodation. At the time of registration, the passenger's identity documents shall be checked and truthfully registered according to the prescribed items.

Seventeenth in violation of the provisions of article sixth, eleven, twelve, in accordance with the relevant provisions of the "People's Republic of China (PRC) public security management punishment law", the relevant personnel shall be punished; If a major accident occurs, causing serious consequences and constituting a crime, criminal responsibility shall be investigated according to law.