  The aim of this paper is to give a complete classification of irreducible
finite dimensional representations of the nonstandard q-deformation U'_q(so(n))
(which does not coincide with the Drinfeld-Jimbo quantum algebra U_q(so(n)) of
the universal enveloping algebra U(so(n,C)) of the Lie algebra so(n,C) when q
is not a root of unity. These representations are exhausted by irreducible
representations of the classical type and of the nonclassical type. Theorem on
complete reducibility of finite dimensional representations of U'_q(so(n)) is
proved.
