This paper presents a simplified model of a nickel hydrogen battery based on a first approximation. The battery is assumed uniform throughout. The reversible potential is considered primarily due to one-electron transfer redox reaction of nickel hydroxide and nickel oxyhydroxide. The non-ideality due to phase reactions is characterized by the two-parameter activity coefficients. The overcharge process is characterized by the oxygen reaction. The overpotentials are lumped to a tunable resistive drop to fit particular battery designs. The model is implemented in the Virtual Test Bed environment, and the characteristics of the battery are simulated and in good agreement with the experimental data within the normal operating regime. The model can be used for battery dynamic simulation and design in a satellite power system, an example of which is given.