Abstract The hydrogen solubility properties were investigated with the aim of developinghydrides of Ti based alloys for hydrogen storage applications. The hydrogen absorptioncharacteristics and the thermodynamics of the dissolved hydrogen in Ti 0.42Zr 0.08Fe 0.50 were investigated in the ranges 0 ⩽ P⧸bar ⩽ 40 and 323 ⩽ T⧸K ⩽ 473 by pressure reduction method and compared with TiFe and Ti 0.45Fe 0.45B 0.1. The hydrogen intake capacity at any particular temperature and hydrogenequilibrium pressure is larger in the α phase of Ti 0.42Zr 0.08Fe 0.50–H compared to that in TiFe–H and nearly the same in the β phase. The plateau pressurein Ti 0.42Zr 0.08Fe 0.50 –H at any temperature is slightly higher than that inTiFe–H. The absolute values of the relative partial molar enthalpy and entropy of the dissolvedhydrogen in Ti 0.42Zr 0.08Fe 0.50–H are comparable to TiFe–H. The relativepartial molar enthalpy and entropy of hydrogen absorption decreases with the increase ofhydrogen content in the α phase of Ti 0.42Zr 0.08Fe 0.50–H and moreor less remain constant in the α+ β phase.