Two types of composites were prepared. One of them was a metal-polymer composite comprised of nanoscale nickel particles, and the other one was comprised of high-dispersed nickel particles. In both cases, phenilon was used as the polymer matrix. One of the composites was prepared by means of the thermal decomposition of nickel formate in phenilon. The other was made via mixing a nickel powder with phenilon in a mill. For these samples, the resistance and the frequency dependence of permittivity in the range from 20 to 200 Hz were measured, and their conductivity and static permittivity values were determined. It was found that the percolation-like behaviour of conductivity (σ) and static permittivity (ε) which was observed for the Ni particles of 1-3 µm in size(high-dispersed particles) gave way to another behaviour characterized by an additional contribution to σ and ε below the percolation threshold for the Ni particles of ≤ 30 nm in size (nanoparticles). It was shown that this peculiarity of the behaviour of σ and ε of the composites was in agreement with the network hierarchy model of composites which had been proposed recently by Balberg et al. Thus, the behaviour of σ and ε of the metal-polymer composites under study can be understood in the frame of the model of composites which assumes the existence of a "hierarchy" of electrically connected networks in composites and the dependence of the conductivity of these composites from the sizes of filler particles (from the ratio of values of the radius of filler particles and the tunneling range parameter). This work was partial financally supported by the Russian Foundation for Basic Research (grant nos.06-03-72031-MSTI,07-03-00885,07-08-00523,08-08-90250),INTAS-05-1000008-7834, the grant of the President of the Russian Federation MK-253.2007.3, Russian Science Support Foundation, ISTC nos.3457, the Russian Academy of Sciences of the research programs.

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