Traditional multi-axle steering vehicle often adopts linear state feedback control, which is difficult to ensure high-precision trajectory tracking under all working conditions. Moreover, due to the failure to consider the optimal distribution of tire lateral and longitudinal forces, tires are prone to problems such as uneven load rates and wear. In this paper, considering the over-redundant and nonlinear characteristics of three-axle vehicle, a hierarchical coordinated control strategy is proposed. In the upper layer, the trajectory tracking controller is designed based on the robust nonlinear sliding mode control theory. In the middle layer, based on the optimization conditions of tire load rate and dissipative energy, the lateral and longitudinal forces optimal distribution controller is constructed under the constraint of friction circle. In the lower layer, the lateral and longitudinal forces are finally converted into tire angles and torques with the tire inverse model. The results show that the hierarchical coordinated control strategy can ensure that the multi-axle vehicle can achieve high-precision trajectory tracking under all-terrain load conditions, and the load rate and wear of each tire are relatively uniform. The coordinated control strategy proposed in this paper considers the influence of nonlinear characteristic of vehicle and tire lateral and longitudinal forces distribution on steering coordination, which can provide an important theoretical basis for the further improvement of steering coordination of multi-axle vehicle.