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The proposed method of nonlinear absorption investigation utilizing the measured traces of luminescence (the dependences of colloidal CdSe/ZnS quantum dots’ luminescence intensity upon distance) in the case of two-photon resonant excitation of excitons by powerful picosecond laser pulses has allowed us to define the values of two-photon absorption coefficients,to reveal the influence of nonradiative Auger recombination, and to realize the limiting effect - invariable transmitted intensity of laser pulses at input intensities exceeding limiting threshold.