The low volumetric energy density of hydrogen can be overcome by compressed gaseous storage. New developments in high pressure proton exchange membrane (PEM) electrolyzer technology have made it possible to compress hydrogen electrochemically by using special PEM cells. This work describes the feasibility and limiting factors for the electrochemical compression of product hydrogen from a PEM electrolyzer stack using a PEM compression cells. This compression process has the benefits of high operational efficiency and no hydrogen contamination. The hydrogen from the PEM electrolyzer stack is conditioned using experimental thermoelectric coolers for required humidity level before electrochemical compression. Yet, further research is required to address the limiting factors to make it an economical and attractive alternative to mechanical compression.