Regional moderate earthquakes could potentially pose serious seismic hazards to highly populated near‐source areas. Factors that could enhance ground shaking include the rupture process, seismic radiation, and wave propagation effects. Despite the fact that these factors are complex and are highly correlated during an earthquake, most previous studies investigated them individually. Here, five examples of moderate earthquakes in Taiwan with comprehensive numerical source and path studies on the basis of computational seismology were presented. In these cases, the finite‐fault source models were first analyzed by joint inversion with regional 3D Green’s functions. Thereafter, the inverted finite‐fault models were used to perform seismic‐wave propagation simulations based on a 3D spectral element method. Results show that the source radiation pattern, rupture directivity, and sediment‐induced amplification are the main factors that usually interact and control the degree of ground motion. The collective results indicate that the source and path effects should be considered simultaneously to produce a more precise prediction of ground motion, especially for moderate events that occur in a complex tectonic region.