The polarization effects in processes gamma + A --> X, e(-) + A --> e(-) + X, gamma + A --> h + X' and e(-) + A --> e(-) + h + X' (A is a target,-hadron or nuclei with spin J; h is the detected hadron, X and X' are the undetected hadron systems) due to the collisions of polarized particles are analyzed using the structure functions formalism. The previously reported results for the spin 1/2 and 1 targets are generalized for any spin J. For all the above mentioned processes the dependence of P-odd effects on the polarization of initial particles is established. For the e(-) + A-interaction only the one-photon mechanism of the violation of P-invariance is taken into account. The general properties of T-odd polarization effects for gamma + A-and e(-) + A-interactions are found without using the concretization of reaction mechanism or the structure of interacting particles. (C) 1997 Academic Press.