A monocentric lens combined with a multi-scale form can achieve a large field of view while maintaining the resolution. This report describes an analytical model that is suitable for both Galilean- and Keplerian-type monocentric multi-scale (MMS) systems; this model also analyzes the correlation between the two types of systems. Moreover, the off-axis aberration associated with the analytical model was derived, on this basis, the Galilean- and Keplerian-type MMS systems were compared. It was concluded that the Galilean-type MMS system performs better with respect to aberration performance. This report provides a useful reference for further applications and developments of MC systems.