The electrical conductivities of ad-hoc specimens of Zircaloy-4 (Zry-4) with hydrogen contents between 5.9 and 2019 wt ppm were measured by eddy current (EC) and by van der Pauw's method. The EC evaluation was made by a non-conventional, non-comparative procedure, which gives the conductivity values through fittings of the theoretical and measured probe impedances for each specimen. Specially designed planar bobbin coil was used. The electromagnetic EC problem was solved in the test conditions. The EC conductivity measurements were made on both major faces of the specimens, i.e. the one with the oxide layer and the ground-off oxide-free face. The van der Pauw's measurements were made on the oxide-free face only. The measured electrical conductivities can be grouped in three bands corresponding to low, medium and high hydrogen contents. In all cases, the total range of conductivity variation for the studied specimens was about 2.5% of the largest value. The conductivity resolution of the procedure was about 0.8%.