In this paper transient response of multiphase magneto-electro-elastic cantilever beam is presented using finite element method. Numerical studies are presented for different volume fraction of the piezoelectric phase (BaTio 3) in magneto-electro-elastic (CoFe2 O4- BaTiO3) composite under clamped-free boundary condition. Newmark Beta method is employed to find the transient response of the beam. A comparison between the elastic, coupled, and uncoupled response of 0.6 volume fraction magneto-electro-elastic beam is also presented. Ansys 8.1 has been used to validate the displacement (uZ) and electric potential (φ) for (PZT)-epoxy mixed component (PECP) material with computer code.