Climate Change Financial Risk Act of 2021 This bill addresses climate change risk and its potential impact on the financial system. The Federal Reserve Board must develop financial risk analyses relating to climate change for specified large nonbank financial companies and bank holding companies. Specifically, these entities will be evaluated every two years on whether they have the capital necessary to absorb financial losses that would arise under several different climate change risk scenarios. The bill also establishes the Climate Risk Scenario Technical Development Group to provide recommendations to the board regarding such climate change risk scenarios, and determine the financial and economic risks of these scenarios. The Financial Stability Oversight Council of the Department of the Treasury must establish a committee to assist it in identifying risks and responding to threats to the financial system as a result of climate change.