This paper assesses the poverty implications of heat stress‐related labor capacity losses based on simulations using a global general equilibrium economic model. Compared with past studies, we use a more precise measurement of heat stress, assign labor capacity losses to specific labor types by sector, and employ an economic model that contains highly disaggregated economic sectors and regions. This model allows us to determine global and regional economic impacts that account for international dependencies. We focus attention on seven West African countries for which we determine the implied changes in real incomes of households near the poverty line. For these countries, we use household microsimulations to determine potential impacts on the poverty headcount. In our results, poverty impacts are heterogeneous across countries and earning sources‐based household strata. A key channel behind this heterogeneity is how loss of labor productivity affects the relative returns to factors of production. We find that unskilled agricultural wages could increase, as loss of productivity in the face of inelastic food demand induces increased labor demand in order to dampen agricultural output losses. In our experiments, even neglecting potential increases in mortality and morbidity, poverty increases range from 2.3% in Cameroon to up to 7.2%–9.2% in Ghana and Nigeria. In one of the seven countries considered, Guinea, poverty sees little change due to the mitigating effects of rising labor wages.