Wildfire smoke and associated health damages are increasing throughout the United States (US), partly driven by climate change. However, wildfire smoke is rarely incorporated in estimates of the societal costs of climate change, resulting in likely underestimation of the climate damages and expected benefits of climate mitigation. We estimate wildfire smoke pollution and mortality damages in the US across future climate scenarios. We find that limiting global warming to 2°C above the pre-industrial level can reduce smoke-related mortality in the US by 13,400 each year compared to 3°C. We estimate that every ton of CO₂ emitted leads to damage of $15.1 from smoke-related mortality in the US, which doubles the US social cost of carbon when combined with existing non-wildfire damage estimates.