The transverse magnetoresistance of n-type germanium materials for both the acoustic and the ionized impurity scattering mechanisms has been inverstigated. In a degenerative case under a strong magnetic field, the expressions of the magnetoresistance of germanium in the three directions of , , and are obtained with respect to the acoustic scattering. The relative magnitude of the average values of theseresults are (ρt)/ρ0:(ρt)/ρ0:(ρt)/ρ0=1:1.7:1.1. In the nondegenerative quantum-limited case, the expressions of the transverse magnetoresistance of germanium for both acoustic and impurity scattering are obtained respectively. For acoustic scattering ρt/ρ0～H/T and, furthermore, ρt/ρ0 is independent of the direction of the magnetic field; for impurity scattering ρt/ρ0～T/H and ρt/ρ0 is dependent on the direction of the magneticfield except for certain specific case.Among the results, the magnetoresistance for the acoustic scattering in a non-degenerative quantum-limited case is qualitatively in accordance with the experimental results given by Diesel and Love.