Abstract: The invention relates to ultrasound methods and medical diagnostic apparatus using ultrasound probing for estimation of the biological tissue elastic properties by determining the propagation velocity of shear wave and imaging the elastic properties of tissue. The method is based on the determining the shear wave front propagation velocity along and perpendicular to the axis of excitation (Ox). In order to implement the method, a power ultrasound beam of waves is used for excitation of shear wave and a plurality of ultrasound pulses is sequentially transmitted to detect the tissue displacement by means of tissue response signals. The image of at least one parameter of tissue elasticity is acquired taking into account the noise level that occurred when determining the shear wave propagation velocity. The results are displayed in the form of images of the elasticity parameters and the noise level and indication of quantitative values of elasticity parameters and noise level.