The present invention relates to a stepless variable transmission device with parallel low gear wheel group, which is the first case that a low gear transmission wheel group equipped with a one-way transmission unit, which transmits with fixed speed ratio in same rotary direction, is installed between the input shaft and the output shaft of a stepless variable transmission device; and which is installed with the clutch device 212 with angular displacement difference and/or the clutch device 222 for eliminating the vibration produced by the hetero-shaft type stepless variable transmission device 100 and the low gear transmission wheel group 102, the both do not operate with fully same speed ratio, for overloaded transmission.