GLEaM is a Global Epidemic and Mobility modeler that integrates sociodemographic and population mobility data in spatially structured stochastic disease models to simulate the spread of epidemics at the worldwide scale. GLEaM considers a population of 6 billion individuals mapped on census cells of 15 × 15 minutes covering the entire Earth surface. It integrates this detailed census data in a multiscale mobility model with long-range transportation by air and short-range mobility patterns (check the GLEaM in detail webpage for additional details). The GLEaM simulation engine can simulate the stochastic infection dynamics occurring in the population in a given place of the world and model its propagation at the worldwide scale, taking into account the mobility of infectious individuals. GLEaM allows the analysis of vaccination programs, drugs deployment, travel restrictions and other mitigation and containment policies by the modeling of the corresponding intervention scenarios. The core model of GLEaM is coupled to GLEaMviz, an interface and visualization platform of the simulation results produced by GLEaM.