  We study cyclotomic association schemes over a finite commutative ring $R$
with identity. The main interest for us is to identify the normal cyclotomic
schemes $C$, i.e. those for which $Aut(C)$ is a subgroup of the one-dimensional
affine semilinear group over $R$. The problem is reduced to the case when the
ring $R$ is local in which a necessary condition of normality in terms of the
subgroup of $R^\times$ defining $C$, is given. This condition is proved to be
sufficient for a class of local rings including the Galois rings of odd
characteristic.
