The problem of designing C-1 or C-infinity controllers for a class of stochastic nonlinear systems (SNSs) in lower-triangular form is studied in this note. By using the well-known backstepping method, the concept of homogeneity with monotone degrees (HWMD) and the sign function approach, we construct a C-1 state feedback controller recursively. Meanwhile, by employing a polynomial Lyapunov function with sign functions, we prove that the solution to SNSs is globally asymptotically stable in probability. Furthermore, based on the concept of HWMD, it shows that C-1 controllers for a class of three-dimensional SNSs can be modified to C-infinity controllers under certain conditions. Finally, two simulation examples are given to demonstrate the effectiveness of the proposed controllers.