A new cerium germanide, CeGe3 was prepared by the reaction of a stoichiometric mixture of CeGe2 and Ge under a pressure of 5 GPa at 1600 degreesC. It crystallized in a cubic unit cell with a = 4.354 (4) Angstrom, and was isotypic with CeSn3 and CePb3 having the Cu3Au structure. It showed a Curie-Weiss paramagnetic behavior from room temperature to 20K with a Curie constant C of 0.0495 emu mol(-1.)K. The effective magnetic moment of 0.63mu(B), which was much smaller than the theoretical values of 2.54 mu(B) for Ce3+ (4f(1)) ions, was observed. This compound showed a metallic behavior with the resistivity of 130 and 7 muOmega(.)cm at room temperature and 2 K, respectively.