The mathematical model for the prediction of an adsorption desalination system (AD) performance with heat and mass recovery was presented. This analysis resulted in the determination of the thermodynamic properties at different points and the specific daily water production value. The computational model based on the mass and heat transfer concept was developed to predict the performance of AD system. Then, the irreversibility analysis was performed, and exergy destruction (considering chemical and physical exergy) was calculated. The exergoeconomic analysis of AD system was implemented. Total revenue requirement method was used in the economic investigation of the scheme. The validated model indicated the water production rate as well as the water production cost. The permeate flow rate in the system was obtained to be 51.3 kg/s. The AD system specific daily water production increased up to 11.92. The optimal exergetic efficiency of the system and the cost of water production were calculated to be 5.9% and 0.57 US $ per cubic meter respectively.