Climate change poses challenges to global financial stability, impacting central banks' traditional roles.Central banks face two main dimensions of climate risk: physical risks and transition risks.Managing climate risks requires adapting regulatory frameworks and stress testing methodologies.Quantifying and integrating climate risks into financial models presents a significant challenge for central banks.Collaboration among central banks is crucial to address climate risks consistently across jurisdictions.Monetary policy can drive the transition to sustainable finance by favoring green investments.Regulatory roles of central banks influence corporate behavior through climate risk disclosure expectations.Central banks must navigate macroeconomic impacts of the green transition while ensuring inclusive growth.Capacity building and knowledge exchange are vital for central banks to tackle climate risks effectively.Enhancing data quality and availability is essential for accurate climate risk assessment by central banks.