A traffic shaping method and apparatus which prevents a violation to a peak rate caused by a fluctuation of a flow of ATM cells outputted from a frame crossing over circuit is provided. A traffic shaping apparatus which includes a traffic shaper for shaping input ATM cells and a frame crossing over circuit for crossing over the frame period of output ATM cells outputted from the traffic shaper is provided with an output rate supervision circuit which supervises the transmission rate of output ATM cells and transmits, if it detects an overhead inserted in the output ATM cells, a back pressure to the traffic shaper to stop the traffic shaping operation of the traffic shaper. However, if the transmission average rate exhibits a drop, then the output rate supervision circuit transmits output rate information to the traffic shaper so that the traffic shaper may perform its traffic shaping operation until the transmission average rate rises to an allowable maximum rate set in advance.
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