The ambiance around the concrete structures could be affected by a dynamic climate, particularly after a long time, results in declination of durability at a quicker rate. The increase in carbon dioxide concentration and temperature can increase the carbonation depth of concrete. Carbonation-induced corrosion of concrete structures in Bern and Seoul under a dynamic climate is investigated during this work by considering high and medium greenhouse gas emissions scenarios RCP 8.5 and RCP 4.5 respectively. This analysis takes into account the effect of change in temperature, carbon dioxide levels and relative humidity on diffusion coefficients considering relative humidity as a time-dependent variable. This work also evaluates the failure probability of durability based on the reliability concept by considering the coefficient of variation of carbonation depth and cover depth. Reliability index of 1.28 which infers the probability of corrosion initiation less than 10% is used for inference.