Conway’s Game of Life (GoL), a zero-player game which belongs to the category of Life-like Cellular Automata (CA), has intrigued researchers from a wide range of scientific areas as it exhibits self organization, the emergence of complex patterns while even implementing a universal Turing machine, despite its simplistic nature. In general, CA is a biologically inspired computational model which is able to approach the behavior of complex natural phenomena by utilizing the locality of interconnected simple elements, namely the CA cells. This work proposes a novel CA cell which exploits the advantages of memristor devices, such as adaptivity and CMOS compatibility, to reproduce the behavior of GoL in circuit-level. Such designs are essential for the development of application specific future electronic systems that will be able to operate in real-time and communicate with other biological systems. The proposed circuit was designed and simulated using the Cadence PSPICE environment.