  We describe properties of the nonstandard q-deformation $U'_q({\rm so}_n)$ of
the universal enveloping algebra $U({\rm so}_n)$ of the Lie algebra ${\rm
so}_n$ which does not coincide with the Drinfeld--Jimbo quantum algebra
$U_q({\rm so}_n)$. Irreducible representations of this algebras for q a root of
unity q^p=1 are given. These representations act on p^N-dimensional linear
space (where N is a number of positive roots of the Lie algebra ${\rm so}_n$)
and are given by $r={\rm dim} {\rm so}_n$ complex parameters.
