A CVT acceleration control method applied to a CVT-mounted vehicle including an accelerator position sensor, a vehicle speed sensor, a driving pulley rotation sensor and a driven pulley rotation sensor that is configured to detect a rotation speed of a driven pulley and to output a corresponding signal, a CVT operation portion and a controller, the CVT acceleration control method, may include determining, by the controller, whether a current vehicle driving state satisfies a predetermined starting control condition, monitoring, by the controller, a current driving pulley rotation speed change, determining, by the controller, whether the current vehicle driving state satisfies a predetermined trigger condition, setting, by the controller, a target driving pulley rotation speed change, and controlling, by the controller, the operation of the CVT operation portion such that the current driving pulley rotation speed change converges to the target driving pulley rotation speed change.