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Studying generation of tsunamis or other oceanic phenomena of seismotectonic origin it is often necessary to know general relationships between parameters of the tsunami source and magnitude of the earthquake. Existing empirical relationships, due to essential data scattering, provides poor accuracy which is not appropriate for some estimations. In this work empiric-analytical approach is employed to give a more precise definition to the general relationships between parameters of a tsunami source (amplitude of the co-seismic deformations of bottom, displaced volume, area of source and potential energy of initial elevation) and of an earthquake characteristics (magnitude and depth). The approach involves the scaling laws by Kanamori and Anderson, the definition of the seismic moment and the Okada formulae. Particular features of the tsunami sources on November 15, 2006 and January 13, 2007 on Central Kuril Islands are discussed on the background of the general relationships.