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A big enough transverse magnetic field applied in soft magnetic ferrite toroid can magnetize the ferrite to saturation in transverse direction and almost completely suppresses magnetic domain structures in the ferrite, the response to the longitudinal alternating electromagnetic field changes from the original domain wall displacements and spin rotations to the precession of magnetization around the transverse field and the hysteresis loss disappears in the ferrites. Both theoretical and experimental results indicate that the permeability and magnetic losses in the ferrite can be tuned by adjusting the transverse magnetic field. A higher Q value with relatively lower permeability can be achieved by increasing the transverse field, which ensures the ferrite can be operated at high frequencies with very low magnetic losses.