The heat capacities of two samples of vanadium and two of tantalum have been measured in the normal and superconducting phases in the temperature interval between 1.7° and 5°K. Below the transition temperature T0, the superconducting heat capacity of both metals could be represented accurately by the relation Cs=AT+BT2. In the normal phase the data obeyed the usual relation Cn=γT+(464θ3)T3. From these data H vs T curves were calculated and values of H0, the threshold field at absolute zero, were obtained. For the better vanadium sample the values of the various constants were found to be T0=4.89°K, A=-1.97×10-3 cal/mole deg2, B=1.69×10-3 cal/mole deg3, γ=21.1×10-4 cal/mole deg2, Θ=273°K, and H0=1340 oersteds; for the better tantalum sample T0=4.38°K, A=-1.45×10-3 cal/mole deg2, B=1.33×10-3 cal/mole deg3, γ=13.0×10-4 cal/mole deg2, Θ=231°K, and H0=860 gauss. The measured heat capacities were compared with the predictions of the Koppe theory and the α model.