This study investigates the impact of green bonds on climate risk indices, specifically considering the Economic Policy Uncertainty (EPU) and the climate summit indices. The analysis covers the time frame from November 28, 2008, to August 31, 2022, using multivariate quantile-on-quantile regression (MQQR) and quantile-on-quantile regression (QQR) approaches. The main findings indicate that green bonds have significant potential in addressing climate risk despite economic and environmental policy uncertainty. This suggests the need for an incentive framework to support the development of green bonds in the US market to facilitate progress towards achieving Sustainable Development Goal 13 concerning climate action.