Abstract: For the output-feedback stabilization of a class of stochastic nonlinear systems, a stabilizing output feedback controller was designed for its corresponding nominal system via backstepping with an effective observer designed. Then, an effective coordinate transformation was introduced with an appropriate high-gain parameter chosen, and a smooth output-feedback controller was designed via the high gain homogeneous domination technique for the whole system, thus ensuring that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. What the process mentioned above contributes is mainly making the conditions for linear growth as often shown in earlier works more generalizable so as to enable the result to be more general. The efficiency of the output-feedback controller is verified by a numerical simulation as example.