The dynamical properties of the population inversion of a trapped ion in standing wave field were studied by means of full quantum theory. The influences of the nonlinear parameter η and phase of the standing wave field φ on the collapses and revivals of the ionic inversion were discussed. The results show that the nonlinear parameter η has a great influence on ion population inversion, namely, when the parameter η increases, the period of ion population inversion becomes shorter and the oscillation frequency becomes larger. It is not obvious for contour of the collapses and revivals of the ion population inversion when η reaches a critical value. In addition, phase of the standing wave field also shows a significant influence on the ion population inversion, namely, when phase of the standing wave field φ increases, period of the ion population inversion becomes larger and the oscillation frequency becomes larger.