This paper presents the stability analysis of a simplified model of supercritical water-cooled system. Based on the perturbation linearization and Laplace transformation, transfer function of the simplified system model is established. A stability map is generated using both dimensionless parameters, i.e. sub-pseudo-critical number and trans-pseudo-critical number. An unstable region nearby the pseudo-critical point is determined. The effect of some important parameters on the stability behavior is investigated. It is found that the system is stabilized with a higher hydraulic resistance of the inlet, fluid inlet velocity. It is also found that a longer heating zone or a bigger acceleration of gravity leads to a larger stability margin of the system.