Magnetic and transport properties of a new orthorhombic compound Ce 3 NbRh 4 Ge 4 have been investigated by the magnetization, the electrical resistivity, the ac magnetic susceptibility and the specific-heat measurements. Ce 3 NbRh 4 Ge 4 is a Kondo-lattice compound with the trivalent Ce ions at high temperatures and exhibits ferromagnetic or ferrimagnetic transition at T C = 1.8 K. The small magnetization value at 1.8 K (0.18 B /Ce at 5 T), the small entropy at T C (0.2Rln2), and the large electronic specific-heat coefficient (0.131~0.163 J/Ce-mol K 2) are presumably due to the vicinity of a quantum critical point.