Current-mode-controlled boost converter is broadly used in industry. Owing to the switch is turned on and off periodically, boost converter exhibits abundant nonlinear phenomena. But real inductor displays hysteresis and saturation, which has an important influence on the system dynamics. As a remedy, J-A (Jiles-Atherton) model is adopted to handle the nonlinear behavior of inductor, and the state equations of the boost converters are established incorporating with the J-A model. The simulation results indicate that the analysis of stable operation region is more accurate when taken account of nonlinear inductor. Bifurcation diagrams further indicate that nonlinear inductor and slope compensation have similar effect on the stability of the boost converter.