Phase H (MgSiO4H2),one of the dense hydrous magnesium silicates (DHMSs),is supposed to be vital to transporting water into the lower mantle.Here the crystal structure,elasticity and Raman vibrational properties of the two possible structures of phase H with Pm and P2/m symmetry under high pressures are evaluated by first-principles simulations.The cell parameters,elastic and Raman vibrational properties of the Pm symmetry become the same as the P2/m symmetry at ～ 30 GPa.The symmetrization of hydrogen bonds of the Pm symmetry at ～ 30 GPa results in this structural transformation from P to P2/m.Seismic wave velocities of phase H are calculated in a range from 0 GPa to 100 GPa and the results testify the existence and stability of phase H in the lower mantle.The azimuthal anisotropies for phase H are AP0 =14.7％,AS0 =21.2％ (P2/ symmetry) and AP0 =16.4％,As0 =27.1％ (Pm symmetry) at 0 GPa,and increase to AP30 =17.9％,AS30 =40.0％ (P2/m symmetry) and AP30 =19.2％,AS30 =37.8％ (Pm symmetry) at 30 GPa.The maximum VP direction for phase H is [101] and the minimum direction is [110].The anisotropic results of seismic wave velocities imply that phase H might be a source of seismic anisotropy in the lower mantle.Furthermore,Raman vibrational modes are analyzed to figure out the effect of symmetrization of hydrogen bonds on Raman vibrational patte and the dependence of Raman spectrum on pressure.Our results may lead to an in-depth understanding of the stability of phase H in the mantle.