The purpose of this research is to zoning the seismic hazard and determine the maximum ground acceleration by the probabilistic method in Shiraz area.The list of Earthquakes until March 2020, including historical and instrumental earthquakes with a magnitude between Mw= 3.1 - 7 was prepared. According to the fault trends and geology, 3 potential seismic sources were considered (area source) and seismic parameters were calculated. In the probabilistic method by using Zmap7 plugin, Open quake and QGIS softwares, maximum ground motion acceleration (PGA) for probability of exceedance in 50-year, 475-year and 2475-year and hazard curve response (SA) diagrams for probability of exceedance in 50-year, 475-year and 2475-year in a period of 0.2 and 0.4 seconds were calculated. The results show that the highest level of ground motion acceleration (PGA) in Shiraz is 0.8 (g) and the maximum response curve acceleration (SA) is 1.5 g in a period of 0.2 seconds. The most seismic areas near Kazerun, Qir and Zagros faults were estimated to have a history of major historical and instrumental earthquakes. In general, it can concluded that these areas with high population density and important cities of the province are in high seismic hazard areas due to their proximity to the regional faults