  For $k,s\geq2$, the $s$-stable Kneser graphs are the graphs with vertex set
the $k$-subsets $S$ of $\{1,\ldots,n\}$ such that the circular distance between
any two elements in $S$ is at least $s$ and two vertices are adjacent if and
only if the corresponding $k$-subset are disjoint. Braun showed that for $n\geq
2k+1$ the automorphism group of the $2$-stable Kneser graphs (Schrijver graphs)
is isomorphic to the dihedral group of order $2n$. In this paper we generalize
this result by proving that for $s\geq 2$ and $n\geq sk+1$ the automorphism
group of the $s$-stable Kneser graphs also is isomorphic to the dihedral group
of order $2n$.
