The low temperature thermodynamics of the stable phase of vanadium has been assessed by the poly-nomial and Debye models from the experimental data available in literature. By means of the constrained nonlinear least squares curve fitting arithmetic, two sets of parameter values have been determined. Expressions of the thermodynamic functions Cp(T) and G(T)-H (298.15 K) at 0―298.15 K are presented. The low temperature thermodynamics of the metastable phase of vanadium can only be ex-trapolated by the Debye model. The expression of the thermodynamic function Cp(T) at 0―298.15 K is presented.