The　dynamic　responses　and　vibration　suppression　of　frame　structures　considering　the　shear　deformation　are　investigated　using　the　spectral　element　method　(SEM).　Vibration　suppression　of　the　frame　structures　is　studied　through　the　active　control　technique　using　the　piezoelectric　rods.　The　local　dynamic　stiffness　matrices　of　the　spectral　elements　for　the　Timoshenko　beams　and　longitudinal　vibration　of　the　rods　are　obtained　in　the　Fourier　phase　space　and　that　for　the　axial-bending-shear　coupled　vibration　of　the　piezoelectric　rod　is　also　gotten.　From　the　transformation　between　the　local　and　global　coordinates,　the　global　dynamic　stiffness　matrix　for　the　whole　frame　structures　containing　the　piezoelectric　rods　is　obtained.　From　the　numerical　simulation,　the　dynamic　responses　of　the　frame　structures　can　be　effectively　and　exactly　calculated　by　the　SEM　comparing　with　the　finite　element　method.　It　can　be　found　that　the　dynamic　responses　of　the　frame　structures　can　be　effectively　suppressed　by　the　active　control　technique　based　on　the　piezoelectric　rods.　The　influences　of　the　structural　parameters　on　the　dynamic　responses　and　active　control　effect　are　also　analyzed.