Investigations made by powder X-ray diffraction, susceptibility measurements and neutron diffraction experiments on new ternary RMnGe (R = LaNd) are reported. They crystallize in the well-known tetragonal CeFeSi-type structure (space group P4/nmm). This structure, which is closely related to the ThCr 2Si 2-type structure, can be described as isolated “ThCr 2Si 2 blocks” connected via R-R contacts. All these compounds are antiferromagnetic below T N ∼ 410 K (not detected in the bulk susceptibility measurements). At room temperature, the magnetic structures are characterized by a stacking of antiferromagnetic (001) Mn layers with Mn magnetic moments (about 3.6-3.2 μ B at 2 K) at 40° (CeMnGe) or along the c axis. In all cases, this antiferromagnetic arrangement of the Mn sublattice persists down to 2 K. At lower temperature, the R sublattice orders in ferromagnetic (001) layers, with various ordering schemes along the stacking axis. At 150 K, PrMnGe exhibits ferromagnetic behaviour followed by a ferro-antiferromagnetic transition below 80 K simultaneously with a crystallographic phase transition (tetragonal to orthorhombic symmetry). Below 200 K, NdMnGe exhibits a ferromagnetic ordering of the Nd sublattice which persists until 2 K. Within the complete ordering temperature range, the Pr and Nd magnetic moments are in the basal plane with a magnitude of 2.45(3) and 3(1) μ B for Pr and Nd, respectively, at 2K. The magnetic structures correspond to the sequence Mn(AF)R(+)R(+)Mn(AF)R(−or+). The Mn moments rotate at 50° from the c axis in PrMnGe, while they are in quadrature in NdMnGe. In CeMnGe, the Ce-sublattice orders antiferromagnetically below about 130 K (not detected in the magnetometric measurements), yielding the following ordering scheme: Mn(AF)Ce(+)Ce(+)Mn(AF)Ce(−)Ce(−); at 2 K the Ce moment value is 2.2(1) μ B. The Mn and Ce moment directions are almost parallel, and make an angle of about 35° with the c axis. The results are discussed and compared to those obtained previously on the corresponding ternary silicides and germanides of the CeFeSi- and ThCr 2Si 2-type structures.