In the present report the analysis of the finite-size effect on the magnetic properties and structures of nanoparticles and microclusters is given. The formation of non-homogenous structure in the process of mechanical alloying of immiscible components (Cu-Co, Cu.-Fe) allows these samples to be used as model objects to verify the fundamental magnetic behavior as a function of the particle size, Abnormal magnetic characteristics (parameters of the shifted hysteresis loop, the susceptibility, etc.) in magneto-ordered state (Ni, Cu-Co, Cu-Fe and others) have been observed for the nanoscale range particles synthesized by different methods (gas condensation method, mechanical alloying etc.) and have been characterized using low and high magnetic fields (up to 40 T). It has been shown that the size of particles enriched by 3d-metal decreases as the concentration of 3d-metal is reduced, The particle size of pure Ni strongly influences the magnetic hysteresis behavior, The shifted hysteresis loop and irreversibility of the magnetization at high magnetic field have been observed. We discuss the magnetic properties of these nanoparticles taking into account the exchange interaction between non-collinear magnetic structure of the surface layer and collinear structure of the particle core.