This talk is concerned with the stability of Poincaré maps of a slow-fast stochastic system. For one dimensional case, we use linearization method to prove the Poincare maps of the stochastic fast-slow system return, one time or even infinite times, to a small neighborhood of a fixed point of the Poincare map for a deterministic fast-slow system. For multi-dimensional case, applying the random manifold reduced theory and the moving orthonormal system argument, we build the effective construction of the stochastic Poincaré map and prove that the stochastic Poincaré maps return to a small neighborhood of a fixed point of a deterministic Poincaré map with one time or even infinite times as the noise intensity tends to zero. For the infinite dimensional case, using the Lyapunov's method and Horn's fixed point theorem, we establish the Wong-Zakai type stochatic Poincaré map and further verify the stability of the Wong-Zakai type stochastic Poincaré maps for the stochastic slow-fast system as the colored noises tend to the white noises in the sense of distribution. This work is joined with Min Yang.