The results of numerical calculations are presented for the reflection coefficient of the shear horizontal (SH) plane waves incident on an elastic solid–viscoelastic liquid interface. The linear viscoelastic Maxwell liquid with one relaxation time is considered. The modulus and phase of the reflection coefficient as a function of incidence angle and frequency are determined numerically for typical parameters of the considered media. The validity of an approximate expression for the reflection coefficient is analyzed. Some new properties of the reflectedSHwave are considered and discussed.