Water-gas shift reaction (WGSR) and sorption enhanced water-gas shift reaction (SE-WGSR) were studied over Cu-zeolite 13X hybrid material (containing the catalyst and CO2 sorbent) in the temperature range between 398 and 548 K. The copper phase was deposited by wet impregnation of binderless beads of 13X zeolite. The catalysts were characterized by N-2 sorption, XRD, He pycnometry and SEM-EDX techniques. in addition, the Cu-zeolite 13X hybrid material was also compared with a previously prepared and examined hybrid material, Cu-hydrotalcite hybrid material, used for the same purpose, the SE-WGSR.