The technique for the determination of diffusion parameters on the basis of nonlinear fluorescence quenching and excitation energy capturing by the traps is discussed. The nonstationary character of the processes of excitation capturing by traps and of singlet-singlet annihilation which occur upon the system excitation by a picosecond pulse is taken into account. The obtained values of the diffusion parameters in the artificial pigment-polymer antenna system (the diffusion coefficientlo-' cm2 s-' and the diffusion length -500 A) are close to those in the photosynthesizing systems. It is also shown that the method of the determination of diffusion parameters on the basis of excitation capturing by the reaction centres may be applied for the study of the native photosynthetic systems.