This chapter gives a brief overview of current models of the ocular motor system. Beginning with models of the final ocular pathway consisting of eye plant and the neural velocity-to-position integrator for gaze holding, models of the motor part of the saccadic system, models of the vestibulo-ocular reflexes (VORs), and of the smooth pursuit system are reviewed. As an example, a simple model of the 3-D VOR is developed which shows why the eyes rotate around head-fixed axes during rapid VOR responses such as head impulses, but follow a compromise between head-fixed axes and Listing's law for slow VOR responses.