The influence of interaction between phonons on properties of weak-couping polaron in quantum wires are studied by using linear-combination operator and perturbation methods.The ground state energy of weak-coupling magnetopolaron in quantum wires is obtained considering the interaction between electron and LO-phonon.The influence of the confinement strength

the electron-LO phonon coupling strength and the interaction between phonons of different wave vectors in the recoil process on the ground state energy of weak-coupling magnetopolaron in quantum wires are discussed. Numerical calculation illustrated that the ground state energy of weak-coupling magnetopolaron will increase rapidly with increasing the confinement strength.At the same value of the confinement strength

ground state energy of magnetopolaron will decrease with increasing the electron-LO phonon coupling strength and will increase with increasing the cyclotron frequency of the magnetic field.For weak magnetic field

the influence of the interaction between phonons on the ground state energy of the magnetopolaron can not be ignored.