Let $(X,G,/Phi)$ be a dynamical system, where $X$ is compact Hausdorff space, and $G$ is countable discrete group. Fix some finite subset $S/subset G$. We prove that if $X$ is totally disconnected, then $/Phi$ has $S$-shadowing property if and only if $(X,G,/Phi)$ is conjugate to an inverse limit of a sequence of shifts of finite type which satisfies Mittag-Leffler condition. Also, suppose that $X$ is metric space (may be not totally disconnected), we prove that if $/Phi$ has $S$-shadowing property, then $(X,G,/Phi)$ is a factor of an inverse limit of a sequence of shifts of finite type by a factor map which almost lifts pseudo-orbit for $S$.

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