Аннотация:Magnetosphere of the Earth is formed under the influence of turbulent solar wind flow. Amplitudes of turbulent fluctuations of particle flux and magnetic field are considerably increased in the Earth's magnetosheath. We present the latest results of the studies of properties of small scale fluctuations in turbulent flow of solar wind and magnetosheath using extremely high resolution (up to 0.03 s) of BMSW device operating on SPECTR-R mission. The spectra of plasma fluctuations on the scales 0.03-100 s scales are systematically analyzed. The existence of the break frequency in spectra of fluctuations of the solar wind and magnetosheath plasma parameters is demonstrated. Variations of spectra slopes before and after break, and of the frequency of the break are analyzed for different solar wind conditions. The differences of the parameters of the spectra of ion flux value and direction are discussed. The properties of non Gaussian probability distribution functions (PDF) of fluctuations of plasma parameters on scales less than 10 s are observed. The characteristics of structure functions and their scaling are determined. It’s shown that the filament structures in the turbulent solar wind flows observed as a rule. The possibility to describe PDF’s by Tsalis statistics is discussed. All statistical results demonstrate the high level of intermittency on discussed scales.