Summary: The new two-dimensional mathematical model of the performance of a cross-flow cooling tower is presented. Our model includes a positive feedback between aerodynamics of cooling tower and a rate of evaporative cooling. The self-consistent iterative algorithm of its solution is proposed and discussed. The simulation results, which included profiles of air temperature at the rain zone, are displayed. It is shown that the main parameter, affecting on the thermal efficiency of cross-flow cooling tower, is the average droplet radius. The range of change of final droplet temperatures is calculated.