Mg-Tm-V (Tm=Ni, Co, Cu) alloys were synthesized by mechanical alloying. The structure characterizations by X-ray diffraction and electron diffraction revealed the prepared alloys to consist of nanocrystalline grains with b.c.c. structure, which was stable up to 573 K. It was found that synthesized Mg 1 . 0 Ni 1 . 0 V 1 . 0 , Mg 1 . 0 Cu 1 . 0 V 1 . 0 and Mg 1 . 0 Co 1 . 0 V 1 . 0 alloys were able to absorb hydrogen up to 2.3, 1.44 and 0.95 wt.% at 3 MPa and 298 K, respectively. The plateau pressures of pressure-composition isotherms for these alloys were observed at 0.2-0.8 MPa and 298 K.