A driving system for electric vehicle is disclosed to use a clutch switching unit for controlling a motor rotor-driven bushing to rotate a wheel hub via a direct-drive active clutch or via a set of planet gears and a reducing clutch. At the initial state after startup of the motor, the direct-drive active clutch runs idle, enabling the wheel hub to provide a low-speed high-torque output, saving power consumption. When the vehicle speed reaches a predetermined level, a control circuit drives a clutch motor to move the clutch switching unit in releasing the reducing clutch to idle the planet gears, enabling the direct-drive active clutch to be switched on so that the rotor of the motor can rotate the wheel hub directly to accelerate the vehicle speed.