In this paper, an analytical solution of the coupled heat and mass transfer process in a cross-flow liquid-desiccant dehumidifier/regenerator is developed. By the use of reliable assumptions, the government equations for the system are solved by an analytical method. The results of the present analytical solution are compared with experimental data from the literature, and they show good agreement. The maximum error produced by the presented analytical solution is less than 12 %. The effect of the operating parameters is considered using the presented analytical solution. The results show that air inlet humidity, air flow rate, desiccant inlet temperature, and desiccant inlet concentration have more influence on the moisture removal rate in the cross-flow dehumidifier. Also, air inlet humidity, desiccant inlet temperature, desiccant inlet concentration and desiccant flow rate have more effect on the moisture removal rate in the cross-flow regenerator. The effect of the Lewis number on the performance of the dehumidifier/regenerator is investigated. As the results show, by the use of Le = 1.08 in the dehumidification process and Le = 0.96 in the regeneration process, instead of the value of unity, better results are obtained. The benefit of the present study is a simplified application for the evaluation of the outlet parameters of the cross-flow air dehumidifier/regenerator.