In the rst chapter of this work contain the introduction, de ntion and orginrnof multiferroics. Second and thrid chapters include the formulation of Heisen-rnberg Model , variation of dispresion, magnetization, speci c heat capacity and thernfourth chapter contains the conclusion.rnGenerally, multiferroics are novel classes of materials that exhibit cross-couplingrnof mutually excluding phenomena, i.e. magnetism and ferroelectricity. In recentrnyears, the coexistence of ferroelectricity and magnetic orderings has drawn con-rnsiderable attentions due to the promising applications to these days technology.rnThe microscopic origins of magnetism and ferroelectricity di er fundamentally,rnwhile the real mechanism of ferroelectricity is still under debate. In the presentrnwork, we have started from a simple Heisenberg hamiltonian and an interactionrnterm resulting from electric eld coupling with the magnetic spins with anisotropicrnenergy, and have demonstrated that magnetization can be manipulated with elec-rntric eld. In the multiferroic thin lm system the magnetic eld tends to playrna role in stabilizing the spins in preferred orientations and induces a coupling ofrnmagnetism and ferroelectricity that opens a route to switch magnetization withrnelectric polarazation