A general formalism for the model independent description of the spin structure of the matrix element for the radiative tau-decay, tau(-) --> nu(e) + pi(-) + gamma, is developed. For illustration, the decay of polarized tau into unpolarized particles and the production of polarized photons in the decays of polarized and unpolarized tau are considered in a general framework, without specifying the decay mechanism. Next the contributions of the standard decay mechanisms of Inner Bremsstrahlung and structural radiation, as well as the nonstandard ones, namely those induced by the possible anomalous electromagnetic characteristics of tau-lepton or by an exotic tensor current, are calculated. The problem of the radiative zero in the collinear kinematical conditions is also considered. (C) 1999 Academic Press.