The Boost converter with wide range input voltage, operating at both stable section and unstable section, the chaos phenomenon makes the system work unsteadily. Based on continuous current conduction mode, the adjustment and stability control with small sinusoidal parameter perturbation for Boost converter are discussed. The transition process between stable state and unstable state for different perturbation amplitudes are analyzed in detail, the critical transition conditions between stable state and unstable state are deduced, and the stability conditions are also determined. It is shown by digital simulation that sinusoidal parameter perturbation can not only suppress the chaos phenomenon, but also cause the converter originally in steady state to turn into unsteady chaos state. The consistent and appropriate perturbation amplitude range can be selected for the wide range input voltage, so as to ensure the Boost converter to start, be adjusted and operate steadily and reliably.