In order to construct the model which describes quantitatively the acidification process of rain water by rainout of atmospheric pollutants, the generation and growth of cloud droplets on cloud condensation nuclei are simulated numerically with use of a mathematical model. The mathematical model is constituted by the conservation laws of water mass and heat energy and the state equation of ideal gas. As the speed of time variation of droplet heat Qw is very fast compared with that of droplet mass mw, droplet temperature Ta can be treated as in steady state. The equilibrium droplet size ae is dependent on the 3/2 power of the initial radius as0 of cloud condensation nucleus (NH4) 2SO4. The larger as0 is, the more the droplet grows in its equilibrium size ae. Then, it takes much time for large condensation nucleus to attain the equilibrium size ae.