Abstract: A continuously variable transmission system for an automatic includes a gear shifting transmission device, a continuously variable transmission device, and a reduction device. The continuously variable transmission device comprises a drive wheel, a driven wheel, and a transmission wheel. The drive wheel and the driven wheel together form an annular inner spherical face in linear frictional transmission contact with an outer spherical face of the transmission wheel. A speed-change control mechanism drives the transmission wheel to turn in response to an output speed of an output end of the driven wheel, thereby changing the linear contact area between the transmission wheel and the drive wheel and changing the linear contact area between the transmission wheel and the driven wheel such that the input speed on an input end of the driven wheel mating with the output speed.