Three different Ti-based alloys with bcc structure and Laves phase were studied. The TiCr 1.1 V 0.9 , TiCr 1.1 V 0.45 Nb 0.45 and TiCr 1.1 V 0.9 + 4%Zr 7 Ni 10 alloys were melted in arc furnace under argon atmosphere. The hydrogen absorption capacity was measured by using aparatus type Sievert's. Crystal structures, and the lattice parameters were determined by using X-ray diffraction, XRD. Microestructural analysis was performed by scanning electron microscope, SEM and electron dispersive X-ray, EDS. The hydrogen storage capacity attained a value of 3.6 wt. (%) for TiCr 1.1 V 0.9 alloy in a time of 9 minutes, 3.3 wt. (%) for TiCr 1.1 V 0.45 Nb 0.45 alloy in a time of 7 minutes and 3.6 wt. (%) TiCr 1.1 V 0.9 + 4%Zr 7 Ni 10 with an increase of the hydrogen absorption kinetics attained in 2 minutes. This indicates that the addition of Nb and 4%Zr 7 Ni 10 to the TiCrV alloy acts as catalysts to accelerate the hydrogen absorption kinetics.