This paper addresses the problem of finite-time stabilisation by state feedback for a class of stochastic nonlinear systems in strict-feedback form. Remarkably, the system under consideration possesses high-order and low-order nonlinear growth rates and the dead-zone input. By delicately combining sign function with adding a power integrator technique, a state feedback controller is designed such that the closed-loop system is finite-time stable in probability. Simulation results of the parallel active suspension system are provided to show the effectiveness of the proposed method.