The Navier-Stokes equation for incompressible liquid is considered in the limit of infinitely large Reynolds number. It is assumed that the flow instability leads to generation of steady-state large-scale pulsations. The excitation and evolution of the smallscale turbulence is investigated. It is shown that the developed small-scale pulsations are intermittent. The maximal amplitude of the vorticity fluctuations is reached along the vortex filaments. Basing on the obtained solution, the pair correlation function in the limit r → 0 is calculated. It is shown that the function obeys the Kolmogorov law r 2/3 .The law (2), which is the direct consequence of (1), was written in an explicit form in the papers by A.M. Obukhov [5].

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