Adsorption refrigeration system (ARS) is regarded as one of promising clean technologies since it uses a low-grade thermal energy (solar energy, waste heat, etc.). The present paper provides a dynamic modeling of two-bed ARS with RD silica gel/water and SWS–1L/water as working pairs based on MATLAB program. The refrigeration capacity and coefficient of performance are calculated in terms of cycle time, hot water inlet temperature, cooling water inlet temperature, and chilled water inlet temperature. Simulation results indicated that the coefficient of performance increases linearly with adsorption/desorption time. Refrigeration capacity increases gradually until reaches an optimal adsorption/desorption time and then reduces. RD silica gel/water and SWS–1L/water pairs provides a refrigeration capacity of 11.7 kW and 4 kW, respectively at evaporator temperature of 10⁰c.Both working pairs are limited by the hot water inlet temperature of 95 . The half cycle times are fixed to 350⁰cand 280 s for RD silica gel/water and SWS–1L/water, respectively which selected based on optimum time which gives maximum cooling capacity, whereas the switching time for pre-cooling and pre-heating processes is set to 30 s for both working pairs.