In recent years, the automatic distribution in pharmacy has solved the problems associated with traditional drug distribution, such as, quality of service to the customers slow operation speed, inventory management, and savings in labour costs. The main contribution of this paper is to present and to highlight the benefits of using a free-fall flow-rack automated storage and retrieval system for the automating of the drug distribution in the pharmacies. For this, a comparison study has been carried out between the automatic and manual drug distribution according to the total delivery time of customer request. The total delivery time of customer request for the automatic distribution was calculated via simulation, while that of the manual distribution was evaluated by an empirical study. In order to emulate the real distribution in pharmacies a 10 scenarios for each customer request has been performed. For pharmacy of length (L=6 m), height (H=2,7 m) and customer request = 9 drug box, we found that the deviation between the manual and automatic distribution can reach 94%. Moreover, this deviation will be greater for a large rack capacity of pharmacy and/or for great customer request. This study can attract the attention of pharmacists to automate their pharmacy by using the new systems such as the Free-Fall flow rack AS/RS, since this system offers more time to the pharmacists to advise their customers about the prescribed drug, optimization of human resources and stock management.