We review the use of numerical and computational models to explore deep brain stimulation for Parkinson’s disease (DBS PD). It is a review for the modeler and those interested in PD DBS modelling methods and their value. The main model categories of active fiber, mean field, driving force, and volume of tissue activated are described as well as many modelling techniques. We give the basic requirements for a DBS PD model and current theories of DBS mechanism of action, PD etiology, and movement selection. The emphasis is on providing the reader with a representative sample of the variety of models and the range of techniques that have been applied to DBS PD, describing and critiquing them, and less so on study results. However, an extensive set of data and results that can be used for model calibration, validation, and comparison is provided in a Supplement.