In this paper , we will discuss the way of construction of lyapunov function for some of linear stochastic difference equations We will use the general method of constructions of lyapunov function for stochastic difference equations and we will obtain a sufficient conditions of asymptotic mean square stability of zero solution for one of linear stochastic difference equations with constant coefficient ,By using of some main theorems and definitions for asymptotic mean square stability for linear stochastic difference equations .