Abstract: In the ellipsoidal coordinate system, the magnetizing problem of ellipsoid magnetic material in uni- form magnetic field is solved. The analytical expressions of magnetic scalar potential and magnetic field in the entire space, as well as demagnetizing factors and demagnetizing field in the material are obtained. The relation between the shape of ellipsoid material and the demagnetizing factors as well as the influence of the material susceptibility on the direction of demagnetizing field are studied. It is found that the demagnetizing factor along the longer axis of el- lipsoid is less than that along the shorter one. As the magnetizing field is along the ellipsoid axis or the material is sphere, the demagnetizing field is parallel with （ along or opposite to） the magnetizing field. For ferromagnetic ma- terial, the demagnetizing field is almost opposite to the magnetizing field.

Key words: ellipsoid magnetic material, magnetizing, demagnetizing factor, demagnetizing field