This work concerns an analytical study of the performance evaluation of a silica gel-water solar adsorption chiller. The study was conducted on Simulink software of an adsorption system of one ton of refrigeration (TR) capacity (3.5 kW). Several parameters are studied to find out the effect of ambient air temperature, collector inlet, and the collector area on the temperature of the collector outlet, bed outlet adsorbate, condenser output adsorbate, and the thermal power of collector, bed, evaporator, Specific Cooling Power (SCP) and Coefficient of Performance (COP) at different seasons of the year. It is found that the system performance increased with increasing the ambient temperature and the collector area, while the performance system decreased with decreasing the collector output temperature for the previously mentioned studied parameters. Results indicated that the highest COP is achieved at the air temperature, the collector output temperature, and the area collector were 0.68, 0.68, and 0.81, respectively. Also, it was found that the highest SCP at the air temperature of 30°C, the collector output temperature of 75 °C, and the collector area of 14 m2 were 345W/kg, 355W/kg, and 626W/kg, respectively.