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The lattice Weinberg - Salam model at zero temperature is investigatednumerically. We consider the model for the following values of the couplingconstants: the Weinberg angle $\theta_W \sim 30^o$, the fine structure constant$\alpha \sim 1/150$, the Higgs mass $M_H \sim 150$ GeV. We find that thefluctuational region begins at the values of the cutoff $\Lambda$ above about0.8 TeV. In this region the average distance between Nambu monopoles is closeto their sizes. At $\Lambda > 1$ TeV the Nambu monopole currents percolate.Within the fluctuational region the considered definitions of the scalar fieldcondensate give values that differ from the expected one $2 M_Z/g_z$. Weconsider the given results as an indication that the nonperturbative effectsmay be present in the Weinberg - Salam model at the large values of the cutoff.Our numerical results were obtained on the lattices of sizes up to $16^3\times32$.

Zero temperature lattice Weinberg - Salam model for the values of the cutoff $\Lambda \sim 1$ TeV