In the present work, hydrogen storage properties of Ti_0.32Cr_0.43V_0.25 alloy and its composite with TiMn₂ have been studied. The alloy and the composites have been evaluated for their structures, pressure composition isotherms, hydrogen storage capacity, kinetics of hydrogen absorption and hydrogen desorption temperatures. Ti_0.32Cr_0.43V_0.25 alloy shows maximum 3.33, 1.82 and 1.30 wt. % hydrogen storage capacities at 303, 348 and 423 K, respectively. (Ti_0.32Cr_0.43V_0.25)_0.95 (TiMn₂) 0.05 composite absorbs maximum 2.90, 1.80 and 1.40 wt. % of hydrogen at 303, 348 and 423 K, respectively. Kinetic study shows that the hydrogen absorption rate is faster for the composites at the initial chemical reaction stage, and later in hydrogen diffusion stage the hydrogen absorption rate decreases. The saturated composite hydrides show additional hydrogen desorption peak at lower temperature, which is important for practical application.