The tsunami generated by the July 12, 1993 Hokkaido--Nansei--Oki Mw=7.8 earthquake produced in Japan the worst local tsunami-relate death toll in fifty years, with estimated 10--18m/sec overland flow velocities and 30m runup. These extreme values are the largest recorded in Japan this century and are among the highest ever documented for non-landslide generated tsunamis. We model this event to confirm the estimated overland flow velocities, and we find that, given reasonable ground deformation data, current state--of--the--art shallow--water wave models can predict tsunami inundation correctly including extreme runup, current velocities and overland flow. We find that even small local topographic structures affect the runup to first-order, and that the resolution of the bathymetric data is more important than the grid resolution. Our results qualitatively suggest that-for this event-coastal inundation is more correlated with inundation velocities than with inundation heights, explaining also why threshold--type modeling has substantially underpredicted coastal inundation for this and other recent events.¿ 1997 American Geophysical Union