Abstract: In this paper, the backstepping robust adaptive feedback control design for a class of nonlinear stochastic systems with stochastic disturbance is studied. The systems are depicted by It6 stochastic differential equations, and the performances such as robust stability are studied in probability. By using backstepping method, the designing procedure of state-feedback and dynamic output-feedback robust adaptive controllers are given. The main contribution of the paper is the quartic control Lyapunov function which is different from the deterministic case.