The invention relates to an aluminum-plastic film stamping equipment for a soft-packed lithium battery and its stamping process, including a support base plate, a transmission device, a cutting device and a stamping device. A transmission device is installed on the top of the left end of the support base plate, and the cutting device is installed On the middle part of the support base plate, the stamping device is connected with the right end top of the support base plate; the transmission device includes a transmission roll, a transmission rotating shaft, a rotating shaft support plate, a shifting plate, a buffer connecting frame, a rotating plate, a blocking frame and a buffer spring. The present invention can solve the problem that the aluminum-plastic film existing in the outer packaging of the soft-packed lithium battery cannot be automatically conveyed when it is punched, the wrinkle phenomenon occurs when the aluminum-plastic film is conveyed, the stamping die cannot be adjusted for stamping size, and the aluminum-plastic film cannot be automatically conveyed. The position around the aluminum-plastic film will be deformed during stamping, the aluminum-plastic film cannot be automatically cut, and the cutting effect of the aluminum-plastic film is poor.