In the present paper, necessary and sufficient conditions are given for the equality of the power residue symbols ${\left( {\frac{\alpha }{a}} \right)_n} $ and $ {\left( {\frac{a}{\alpha}} \right)_n} $ in the cyclotomic field $\Bbb Q(\zeta _n)$, $2\nmid n$, for $a \in \Bbb Z, (a,n) = 1$. This result is a generalization of the classical Eisenstein reciprocity law and its continuation in Hasse's paper