  Toroidal Lie algebras are universal central extentions of the finite
dimensional simple Lie algbera tensored with Laurent Polynomials in several
commuteing variables. In this paper we classify irreducible integrable modules
for Toroidal Lie algebras with finite dimensional wieght spaces. They are
tensor product of evaluation modules for the finite dimensional Lie algebra
when the center acts by zero. In the case when the center acts nontrivially
they are tensor product of evalution representations of the underlying affine
Lie algebra twisted by an automorphism of the Toroidal Lie algebras. The
automorphisms come from genaral linear group with integer integers whose
determinant 1 or -1.
