In the forced vibration experiment of the riding tractor, the time continuous data of the acceleration were analyzed by spectrum map, phase projection and Poincare section to examine the linearity or nonlinearity characterisitics for dynamic behavior of the tractor. Spectrum map and phase projection of the acceleration in the forward and the vertical direction at the center of gravity of the tractor showed some nonlinearity at the forced friquency ranging from 8.0Hz to 10.0Hz, and Poincare section indicated the periodicity for all accelerations. The result suggested that the nonlinear elements of the tractor didn’t affect the vibration characteristics of it at the forced frequency ranging from 1.0Hz to 5.0Hz, but greatly affected at forced frequency greater than 8.0Hz.