Phonon dispersion of HgBa2CuO 4+δ along the direction close to [100] was measured with using inelastic X-ray scattering. The longitudinal optical Cu-O bond stretching mode shows an anomalous softening at q∼0.3, similar to reports for other high-Tc cuprates, such as YBa2Cu3O 7−δ and La2−xSrxCuO4. This feature indicates a common property in the high-Tc cuprates, independent of lattice distortion and transition temperature.