A　two-dimensional　thermal　shock　problem　of　a　thick　piezoelectric　plate　extending　infinitely　has　been　investigated　by　the　theory　of　generalized　thermoelasticity　with　two　relaxation　time　parameters　(the　G-L　method).　Solution　is　obtained　by　the　hybrid　Laplace　transform-finite　element　method,　in　which　the　generalized　thermo-elastic-piezoelectric　coupled　finite　element　equations　are　first　formulated　and　solved　in　the　Laplace　domain.　The　numerical　Laplace　inversion　method　is　then　applied　to　produce　results　in　the　physical　domain.　Obtained　results　demonstrate　the　existence　of　wave　type　heat　propagation　in　the　piezoelectric　plate　subjected　to　heat　impulse　loading　and　the　heat　wave　propagates　at　a　finite　speed.　This　contradicts　the　prediction　of　classic　Fourier＇s　heat　conduction　law,　which　would　show　that,　if　there　exists　a　heat　wave,　it　must　traverse　at　an　infinite　wave　speed.