Startability improving method for gdi engine using electric cvvt control

A method for improving startability of a of a gasoline direct injection (GDI) engine by controlling an electric continuously variable valve timing (CVVT) may include determining whether the engine is running, calculating the phase angle of the camshaft and the difference between the position of the camshaft and the optimum position of the lobe of the high pressure pump, applying a duty to the drive motor to rotate the camshaft, calculating the difference between the current position of the camshaft after rotation and the target position of the camshaft, and comparing the difference with a predetermined value. When the difference is not smaller than a predetermined value, the duty is raised and applied to the drive motor to rotate the camshaft further until the difference is reduced and smaller than the predetermined value.