In particular, the evolution of maximum of probability density function and the structure functions of different orders as characteristics of turbulent processes for different time scales are investigated. Structure functions of high orders are used to determine the character of turbulent processes and the resulting diffusion in these regions. We have found that the highest intermittency is observed in the postshock region. Furthermore, magnetic turbulence in the middle magnetosheath corresponds to log-Poisson turbulent cascade model, and that in the SW plasma conforms to the Iroshnikov–Kraichnan’s model.