A method for stabilizing an engine clutch control includes transmitting an engine clutch operation start command from a controller to an engine clutch system, the engine clutch system including an engine clutch, detecting a hydraulic pressure generated during the operation of the engine clutch system, carrying out an oil leakage judgment mode using the controller to determine whether the hydraulic pressure is a normal hydraulic pressure where the operation of the engine clutch is available or if the hydraulic pressure an abnormal hydraulic pressure where the operation of the engine clutch is unavailable, and changing an operation mode to an emergency operation mode wherein the operation of the engine clutch is stopped in case of abnormal hydraulic pressure, and carrying out an operation mode change by operating the engine clutch in a case of normal hydraulic pressure, based on a control by the controller.