Power Gas technology has recently been of great attention to convert electric power from renewable energy such as solar and wind powers to fuel for energy storage and transport. Steam electrolysis and co-electrolysis by the Solid Oxide Electrolysis Cell (SOEC) are expected to play an important role. We have developed a honeycomb electrolytic cell for a larger reactive area per unit volume than the conventional planar and tubular cells. Thereby density of fuel production rate can be significantly improved, leading to a development of compact and high performance steam electrolysis systems. In the present study, we assess hydrogen production by steam electrolysis with an SOEC having a porous honeycomb support consisting of Ni-YSZ cathode. The cathode and anode were supplied with H₂O/N₂/H₂ mixture and air, respectively. The cathode was composed of eight flow channels and the anode was of a single channel in the cell. Current-voltage curves were measured, while increased current led to an increase in hydrogen concentration in the sampled gas from the cathode outlet determined by gas chromatography. The experimental results are useful to develop validated numerical models to design practical honeycomb cells.