The properties of bound magnetopolaron in a crystals was studied by using the linear combination operator and unitary transformation method.The relation between the mean number of phonons of the strong-and weak-coupling bound magnetopolaron in a crystals and the velocity of polaron is derived.Numerical calculations for the RbCl and ZnO crystals,as an example,are performed,and the results show that the mean number of phonons of the strongand weak-coupling bound magnetpolaron will increase with the increasing the velocity of polaron.