An electroacoustic transducer in the form of a piezoelectric of the 6mm symmetry class with an arbitrary orientation of the sixfold axis and with two finite-thickness metal electrodes is considered taking into account the acoustic attenuation in the transducer layers. A system of equations is obtained to determine the impedance of the transducer, the radiation resistances for shear and longitudinal waves, the power ratio of these waves in the acoustic line, and the transformation factors for transverse and longitudinal waves. The effect of attenuation on the characteristics of a specific transducer operating in the 15-GHz frequency range is numerically analyzed.