The prediction of social possessions of agricultural machinery products is the base for that of the markets. An equation for describing the evolution of agricultural machinery products possessions was established and then its nonlinear chaos property with the theory of stability was pointed out. After simply introducing the definitions oftypical parameters to describe the level of chaos,the values of correlation dimension and saturation embedded dimension of the agricultural machinery possessions based on time series in China were calculated. The results showed that chaos truely exists in the agricultural machinery products possessions. Factors of influencing every agricultural machinery product social possession are many and different. It is difficult to make its longterm precise prediction and it is advised to improve the traditional prediction methods.