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Weak points of traditional approach to the description of a tsunami source are revealed. Theoretical background regarding effects of water compressibility in tsunami source is provided. Bottom pressure variations recorded with the aid of JAMSTEC sensors during earthquakes on 25.09.2003 and 11.09.2008 were processed in order to reveal manifestations of water compressibility in tsunami source. It is shown that effects of water compressibility may contribute to tsunami runup heights only by means of non-linear energy transfer from elastic oscillations of water column to long gravitational waves. Improved method of calculation of initial elevation in tsunami source taking into account all three components of the bottom deformation vector in conjunction with bathymetry is suggested.