The isothermal sections of the phase diagram of the Ho-Ag-Sn ternary system at 673 K and 873 K were constructed in the whole concentration range using X-ray diffraction and EPM analyses. The interaction between the elements results in the formation of three ternary compounds at 673 K: HoAgSn (LiGaGe-type, space group P6 3 mc, a = 0.4667(1), c = 0.7313(2) nm), Ho 3 Ag 4 Sn 4 (Gd 3 Cu 4 Ge 4-type, space group Immm, a = 0.4519(2), b = 0.7280(3), c = 1.5091(3) nm), and HoAgSn 2 (Cu 3 Au-type, space group Pm-3m, a = 0.4525(2) nm). At 873 K two ternary compounds (HoAgSn, LiGaGe-type and HoAgSn 2 , Cu 3 Au-type) were found. Three ternary compounds exist in the Tm-Ag-Sn system at 873 K: TmAgSn (ZrNiAl-type, space group P-62m, a = 0.72635(9), c = 0.4435(1) nm), Tm(Ag,Sn) 2 (CaIn 2-type, space group P6 3 /mmc, a = 0.46534(2), c = 0.72649(4) nm) and TmAgSn 2 (Cu 3 Au-type, space group Pm-3m, a = 0.45033(2) nm). DSC/DTA analyses showed a limited stability range for Ho 3 Ag 4 Sn 4 and the existence of a phase transition for the TmAgSn compound. DFT calculations predict metallic-like behavior for both HoAgSn 2 and Ho 3 Ag 4 Sn 4 .