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Increasing extreme temperatures linked to human influence amplify thermal stress and can lead to decreases in work productivity and increases in heat‐related mortality. However, studies assessing in a formal statistical way the contribution of climate change to such impacts remain sparse. Two new indices are introduced here that measure the effect of anthropogenic climate change on the intensity and frequency of health‐relevant heat extremes. Maximum daily temperature data from observations and climate models are used to compute annual index values in different regions around the world. The models employed in the study are evaluated against observational data and only the 10 best are retained for the analysis. Human‐induced warming that leads to an increase in heat‐related deaths has reached about a degree in all continents and is projected to exceed 3° by 2100. All regions currently experience at …