We present a report on crystalline-electric-field effects observed in the electrical resistivity and the specific heat of Ce3Pd20Ge6, which are discussed within an energy level scheme of the Γ8 ground state and the Γ7 excited state at 50 K for both inequivalent crystallographic sites of Ce atom.The third-order magnetic susceptibility was deduced from the magnetization measurement in the paramagnetic phase of a single-crystalline sample in magnetic fields applied along [0 0 1] and [1 1 1].In order to explain the temperature dependence of the third-order magnetic susceptibility along [0 0 1], a positive total quadrupolar pair interaction constant of 22 mK is required in addition to a small antiferromagnetic exchange interaction, thereby suggesting ferroquadrupolar ordering with the Γ3 symmetry in this compound.