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In the framework of the Standard Model we present a new theoretical predictions for partial widths, double and single differential distributions for four-leptonic decays of Bs - mesons. We consider the contributions of φ(1020) - resonance, J/ψ - and ψ(2S) - resonances (excluding resonant regions), non-resonance contribution of the bb¯ - pairs, leading contribution of “weak annihilation” and bremsstrahlung. We use the model of vector meson dominance for calculation of resonances contributions and take into account a set of new contributions that were not previously considered.