Abstract: In this study an effort has been given attention to establish a mathematical relationship between rate of increase of food and rate of population growth of Malthus`s Theorem. It is seen that Malthus`s Theorem of rate of increase of food and rate of population growth follows positive exponential model. To verify the stability of the model, Cross Validity-Prediction Power (CVPP) is applied in this study. It is found that the coefficient of determination of the fitted model is 100% and the fitted model is also100% stable. And its all parameters are also highly significant.