The family of spectra of normal modes of hierarchical networks of the identical mutually coupled oscillators with different topology of the organization is constructed. It is shown that treelike networks possess a fractal range of normal modes of type " devil's staircase", and with growth of quantity of branching lines and at introduction of additional inter-element couplings of network the quantity of degenerate modes increases. The analysis of influence of topology of networks and forces of communications between its elements on spectral characteristics is provided