  Firstly we prove that the Voronoi formula of Miller-Schmid type applies to
automorphic forms on GL(3) for the congruence subgroup $\Gamma_0(N)$, when the
conductor of the additive character in the formula is a multiple of $N$. As an
application, we produce a result about the functional equation of $L$-function
of the automorphic form on GL(3) twisted by Dirichlet characters. Secondly we
prove that a similar formula applies to automorphic forms on GL(3) for the
congruence subgroup $\Gamma_0(N)$, when the conductor of the additive character
in the formula is coprime with $N$.
