A method of controlling the ratio of a continuously variable transmission (CVT) that is controlled by a CVT controller is provided. The method includes determining the torque produced by an engine, calculating an acceleration limit value based upon the torque value and the engine inertia value and a calibrated acceleration limiting ratio. The acceleration limit value is compared to the desired engine speed value to determine a command engine speed value. The CVT ratio is then calculated by dividing the command engine speed value by a measured vehicle speed value. The calculated CVT ratio is compared to a measured CVT ratio and a control signal is sent to an actuator of a CVT. Torque provided to the engine to overcome the engine inertia is limited by the method so that the step change in torque provided to the vehicle wheels, as the engine approaches the command engine speed value, is reduced.