The　dielectric　properties　of　[001]-oriented　0.76Pb(Mg1/3Nb2/3)O3-0.24PbTiO3　(PMN-PT24)　crystal　were　investigated　as　a　function　of　frequency　and　temperature　under　hydrostatic　pressure.　The　dependence　of　remnant　polarization　of　the　PMN-PT24　crystal　on　pressure　was　also　measured.　The　results　showed　that　both　the　temperature　of　the　maximum　dielectric　permittivity　Tm　and　the　depoling　temperature　Td　of　the　PMN-PT24　crystal　shifted　to　lower　temperature,　and　the　relaxor　property　became　stronger　with　increasing　hydrostatic　pressure.　The　remnant　polarization　(Pr)　of　the　PMN-PT24　crystal　decreased　linearly　with　increasing　pressure.　Consequently,　the　hydrostatic　piezoelectric　coefficient,　dh,　was　calculated.