Ground‐motion models (GMMs) are developed for peak ground displacement (PGD) and for bandlimited PGD based on strong‐motion data that has been filtered as part of standard processing and the total PGD that includes the tectonic deformation as well as the vibratory ground motion. For the bandlimited PGD, we develop conditional ground‐motion models (CGMMs) using subsets of the Pacific Earthquake Engineering Research Center Next Generation Attenuation‐West2 Project (NGA‐W2) database and the National Center for Research on Earthquake Engineering Taiwan Senior Seismic Hazard Analysis Committee level 3 project database. The CGMM approach includes the observed pseudospectral acceleration () as an input parameter in addition to magnitude and distance. The period of the is used as an input parameter; it is magnitude dependent and is based on the period for which there is the highest correlation between the and . Two CGMMs are developed: a global model based on the NGA‐W2 data and a region‐specific model for Taiwan. The conditional PGD models are combined with traditional GMMs for values to develop GMMs for both the median and standard deviation of PGD without the dependence on PSA. A second set of PGD GMMs are developed to correct for two factors: the effect of the high‐pass filtering from standard record processing and the stronger large magnitude () scaling due to tectonic deformation. For magnitudes greater than 7, the PGD values from the total PGD GMMs are 2–5 times larger than the bandlimited PGD values based on the strong‐motion data sets, but the increase is at very long periods. The appropriate PGD model to use, bandlimited PGD or total PGD, depends on the period range of interest for the specific engineering application.