Abstract:A nonlinear response function of tree growth to climate variables was developed under the Fritts’ response function, and the cross products of the variables were combined into one item through which it not only avoided the significant loss of degree of freedom but also helped to learn the average cross effect of the climate variables on the growth. A group of cores (15 trees, 30 cores) of Pinus Massoniana which is near its northern distribution limit were dated, and the trends of ring width were deleted, then the obtained chronology and standardized average monthly temperature and monthly precipitation were analyzed by the nonlinear response function. The results showed that the response of the growth was significantly positive to the squares of temperature of December of prior 1 year, March, August and December, and to the squares of precipitation of November of prior 1 year, February, May, August, September and November, but the response was significantly negative to the square of February average temperature. The results could be explained by other′s studies on this species.