Within the effective quark model with chiral U (3) × U (3) symmetry we calculate the S-wave and P-wave amplitudes and the partial widths of the nonleptonic decays of the Λ0-hyperon, Λ0 → pπ- and Λ0 → nπ0. The theoretical results agree well with the experimental data. The angular distributions of the decay rates in dependence on the polarizations of baryons are analyzed both in the laboratory frame and in the rest frame of the Λ0-hyperon.