  Black hole generalized p-brane solutions for a wide class of intersection
rules are presented. The solutions are defined on a manifold that contains a
product of n - 1 Ricci-flat internal spaces. They are defined up to moduli
functions H_s = H_s(R) obeying a non-linear differential equations (equivalent
to Toda-type equations) with certain boundary conditions imposed. Using
conjecture on polynomial structure of H_s for intersections related to Lie
algebras, new A_2-dyon solutions are obtained. Two examples of these A_2-dyon
solutions, i.e. dyon in D = 11 supergravity with M2 and M5 branes intersecting
at a point and dyon in Kaluza-Klein theory, are considered.
