The　double　Hopf　bifurcation　of　a　composite　laminated　piezoelectric　plate　with　combined　external　and　internal　excitations　is　studied.　Using　a　multiple　scale　method,　the　average　equations　are　obtained　in　two　coordinates.　The　bifurcation　response　equations　of　the　composite　laminated　piezoelectric　plate　with　the　primary　parameter　resonance,　i.e.,　1:3　internal　resonance,　are　achieved.　Then,　the　bifurcation　feature　of　bifurcation　equations　is　considered　using　the　singularity　theory.　A　bifurcation　diagram　is　obtained　on　the　parameter　plane.　Different　steady　state　solutions　of　the　average　equations　are　analyzed.　By　numerical　simulation,　periodic　vibration　and　quasi-periodic　vibration　responses　of　the　composite　laminated　piezoelectric　plate　are　obtained.