The invention relates to measuring visco-elastic fluid parameters, in particular, in the oil production industry, for defining heavy oil parameters during field development.The method involves the excitation of a hollow resonance device oscillations by sending a continuous variable-frequency signal to two transmitting transducers located on the outer surface the said resonance device. Oscillations are recorded by a receiving transducer. Amplitude-vs-frequency response curve is plotted and effective resonance frequency ωr is determined. Thereafter, a cavity of the said resonance device is filled with a medium under examination, and oscillations are excited to obtain associated amplitude-vs-frequency response values. An axially symmetric capacity placed in a thermostabilized chamber is used as the resonance device. While implementing the method, the attenuation factor α is also determined for the empty and test medium-filled resonance device as well as the resonance frequency shift Δωr and the attenuation variance Δα re determined in relation to the hollow resonance device.