This talk discusses the issue of velocity stability for coupled stochastic oscillators system with nonlinear distributed control (CSONC). By using Lyapunov method and graph theory, a systematic method to construct a global Lyapunov function for CSONC is provided. Subsequently, two types of stability criteria, which have a close relationship to the topology property of CSONC, are presented. And then the theoretical results are applied to a power system with stochastic disturbance. It makes the velocity of every coupled node (i.e. machine or bus) in the power system reach one consistent equilibrium, which means that frequency synchronization of the system is guaranteed. Finally, a numerical example about the islanded microgrid (six-machine seven-bus topology) with stochastic disturbance is given to verify the effectiveness of the theoretical results.