Base　on　the　generalized　thermoelastic　theories　of　Lord　and　Shulman　(L-S)　and　Green　and　Lindsay　(G-L),　the　thermal　shock　problem　of　an　infinite　piezoelectric　plate　with　temperaturc-dependent　properties　are　studied　by　using　the　finite　element　method　(FEM).　The　governing　equations　are　nonlinear　of　temperature　due　to　temperature-dependent　properties.　It　is　difficult　to　solve　the　problem　by　using　the　integral　transform　method.　The　FEM　equations　are　solved　directly　in　time　domain.　The　distributions　of　temperature,　displacement,　stress　and　electric　field　are　obtained.　In　the　results,　it　is　easy　to　find　that　the　properties　have　jumps　at　the　heat　wave　under　the　L-S　and　G-L　theories　but　change　continuously　under　the　classical　theory.　The　temperature-dependent　properties　make　the　other　parameters　different　from　temperature-independent　condition.　From　the　results　obtained　in　the　paper,　one　can　get　that　the　time-domain　solution　method　of　FEM　call　describe　the　finite　velocity　of　heat　conduction　accurately.