Numerical simulations are a promising approach to characterizing the intensity of ground motion in the presence of geological uncertainties. However, the computational cost of 3D simulations can limit their usability. We present the first database of seismic-induced ground motion generated by an earthquake simulator for a collection of 30 000 heterogeneous geologies. The HEMEW^S-3D dataset can be helpful for geophysicists, seismologists, and machine learning scientists, among others.