Equilibrium isothermal pressure-composition relationships reported for H solubility in body centered cubic (bcc) V 1¹y M y H x (M = Cr, Mo, Fe or Co) by Suzuki et al. recently on this journal were analyzed with statistical thermodynamics under a priori assumption of constant H-H interatomic interaction energy E(H-H) within homogeneity composition range of bcc V 1¹y M y H x phase at arbitrary temperature T. Results of the present statistical thermodynamic analysis showed that detected H solubility suppression for the examined V 1¹y M y H x was consistently interpreted in terms of decrease of available number ª for occupation by H atoms per metal atom in the V 1¹y M y lattice from ª = 0.55 determined for bcc VH x in the earlier work of the author. The extent Q of stabilization of H atoms in the V 1¹y M y lattice through formation of H-V and H-M bonds was one of principal parameters determined by the statistical thermodynamic analysis. It was intriguing to note that Q(V 1¹y M y H x ) with M = Fe and Co became less negative than Q(VH x ) in pure bcc VH x implying that the extent of stabilization of H atoms in V 1¹y M y lattice with M = Fe or Co increased with reference to that in pure VH x in spite of decreased ª from that (0.55) in VH x . On the other hand, Q(V 1¹y M y H x ) with M = Cr and Mo became less negative (that is decreased stability of H) than Q(VH x ) corresponding straightforwardly to the detected decrease of ª value from that in VH x . Noting the promoted H permeability reported for V 1¹y Fe y membrane by Suzuki et al., search for alloying element M that induced H solubility drop form that in the bcc V but with effect of enhancing stability of H in the V 1¹y M y lattice was concluded to be a pragmatic guideline for the screening of alloying constituent towards development of V-based H permeation membrane material.