A driving system suitable for an electric vehicle, comprising: a driving motor; a transmission having: an input shaft, a countershaft, an output shaft, a first transmission unit, a first clutch, a second transmission unit, a second clutch, a third transmission unit and a third clutch, wherein the driving motor is connected to and drives the input shaft, the input shaft is connected to the countershaft to provide power from the driving motor to the countershaft, the first transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the second transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the first clutch is disposed on the countershaft and connected to the first transmission unit for linking or cutting off the power transmission between the countershaft and the first transmission unit, the second clutch is disposed on the countershaft and connected to the second transmission unit for linking or cutting off the power transmission between the countershaft and the second transmission unit, and a first transmission ratio of the first transmission unit is greater than a second transmission ratio of the second transmission unit; and a hydraulic system connected to the first clutch to engage or disengage the first clutch and connected to the second clutch to engage or disengage the second clutch; wherein the second clutch and the third clutch share a driving part, the input shaft and the output shaft are coaxial, and the axis of the countershaft is parallel with that of the input and output shafts (2, 5), the third transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the third clutch is disposed on the countershaft and connected to the third transmission unit for linking or cutting off the power transmission between the countershaft and the third transmission unit, and the hydraulic system is connected with the third clutch to engage or disengage the third clutch, the third transmission has a third transmission ratio, and the second transmission ratio is greater than the third transmission ratio. a driving motor; a transmission having: an input shaft, a countershaft, an output shaft, a first transmission unit, a first clutch, a second transmission unit, a second clutch, a third transmission unit and a third clutch, wherein the driving motor is connected to and drives the input shaft, the input shaft is connected to the countershaft to provide power from the driving motor to the countershaft, the first transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the second transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the first clutch is disposed on the countershaft and connected to the first transmission unit for linking or cutting off the power transmission between the countershaft and the first transmission unit, the second clutch is disposed on the countershaft and connected to the second transmission unit for linking or cutting off the power transmission between the countershaft and the second transmission unit, and a first transmission ratio of the first transmission unit is greater than a second transmission ratio of the second transmission unit; and a hydraulic system connected to the first clutch to engage or disengage the first clutch and connected to the second clutch to engage or disengage the second clutch; wherein the second clutch and the third clutch share a driving part, the input shaft and the output shaft are coaxial, and the axis of the countershaft is parallel with that of the input and output shafts (2, 5), the third transmission unit is disposed between the countershaft and the output shaft to transmit power between the countershaft and the output shaft, the third clutch is disposed on the countershaft and connected to the third transmission unit for linking or cutting off the power transmission between the countershaft and the third transmission unit, and the hydraulic system is connected with the third clutch to engage or disengage the third clutch, the third transmission has a third transmission ratio, and the second transmission ratio is greater than the third transmission ratio.