The considerable amount of internal combustion engine waste heat through exhaust gases and the capability of adsorption cooling system to be driven by waste heats cause adsorption cooling systems to be interesting for vehicle air conditioning. Low specific cooling power of these systems leads them to be bulkier with respect to other cooling systems. Therefore, practical use of these system has been a challenge. One of the methods to enhance the system performance is adsorber bed optimization which is only feasible by numerical simulations. Hence, an exhaust waste heat driven adsorption cooling system with longitudinal finned-tube adsorber is simulated three dimensionally and considering heat and mass transfer details. Also, both the intra-particle and inter-particle mass transfer resistance has been taken into account in governing equations in order to study the effect of adsorbent particle diameter on the system performance. Results show that among the examined geometrical configurations, bed with 20 fin numbers and fin height of 10 mm is the optimum case corresponding to the maximum specific cooling power. In addition, adsorbent particle diameter in the range of 0.3-0.4 mm is the most suitable diameter for the adsorber bed packed with zeolite13x grains.