Intermetallics TbFe₂, TbFeMn and TbMn₂ having C-15 cubic Laves phase structure, have been prepared and hydrided to varying values of H/M using gas phase method up to a saturation composition of H/M ≈ 1.6. TbFe₂H_x samples show the formation of a metastable rhombohedral phase for higher values of x, which on equilibration with hydrogen transforms to cubic form. Unlike this, TbFeMn shows the existence of both hydrided and unhydrided phases for x ≤ 3.0 and for higher values of x, uniform hydriding takes place and a saturation composition of TbFeMnH_4.8 which is characterized by cubic structure with 'a' = 8.137 Å, is obtained. For TbMn₂H_x, for x ≥ 1.2, the formation of a tetragonal phase is observed. Mossbauer study of TbFe₂H_x samples reveals that for TbFe₂, the Fe spins are aligned along (III) direction, which on hydriding become non-collinear and shift towards (100) direction for TbFe₂H_3.15 composition. Mössbauer spectra of TbFeMn are complex and suggest a non-collinear spin alignment due to the existence of both ferromagnetic and anti ferromagnetic interactions between transition metal elements and show a systematic decrease in magnetic field and magnetic transition temperature due to hydrogen incorporation in the matrix. Temperature programmed hydrogen desorption studies of TbFe₂H_x and TbFeMnH_x samples exhibit broad peaks in the region 225-350°C, due to overlap effects and peak maxima shift slightly towards higher temperature side with Mn substitution. Unlike this, TbMn₂H_x samples exhibit much better resolved TPR curves consisting of mainly three peaks placed over the region 275-400°C, possibly because of the tetragonal structure of these samples.