The influence of partial substitutions of iron in TiFe by some other 3-d transition metals on the hydrogenation characteristics of the corresponding ternary (pseudo-binary) TiFexM1−x(M=Cr, Mn, Co, Ni; 0.5≲x≲1) compounds was systematically investigated. Such substitutions result in two main effects:(i) stabilization of the monohydride β phases and (ii) reduction of hysteresis in the absorption-desorption isotherms. A linear dependence of the enthalpies of the monohydride formation on the iron concentration (i.e.x) has been obtained and accounted for by a model assuming local interactions of hydrogen with nearest-neighbor metal atoms.