A computer simulation using MATLAB is investigated to predict the distribution of air stream parameters (humidity and temperature) as well as desiccant parameters (temperature and concentration) inside the parallel plate absorber. The present absorber consists of fourteen parallel plates with a surface area per unit volume ratio of 80 m²/m³. Calcium chloride as a liquid desiccant flows through the top of the plates to the bottom while the air flows through the gap between the plates making it a cross flow configuration. The model results show the effect of desiccant mass flow rate on the performance of the dehumidifier (moisture removal and dehumidifier effectiveness). Performance comparisons between present cross –flow dehumidifier and another experimental cross-flow humidifier in the literature are carried out. The simulation is expected to help in optimizing of a cross flow dehumidifier.