This paper aims to study a numerical model of an adsorption chiller driven with solar energy that is confronted to experimental measurements. This article deals with numerical study of refrigeration systems using a pair of silica gel and water with simulink. The results include the temperature of desorber, the temperature of chilled, cooling and hot water, temperature of two adsorption/desorption beds, condenser and evaporator, the refrigerant saturation pressures in the two compartments and the time variation of water uptake in two adsorbent beds.