Abstract: A traffic control apparatus in an exchange, comprised of an incoming cell analyzing means for identifying if incoming cells are fixed band cells or variable band cells, separating the two, and calculating the total fixed band cell flow and the total variable band cell flow, an incoming cell amount decision means for instructing the allocation of the amount of cells to be discarded among subscribers of the variable band service by a predetermined ratio when the sum total cell flow, that is, the sum of the calculated total fixed band cell flow and total variable band cell flow, exceeds an allowable cell flow, and an incoming cell limiting means for discarding cells from among the incoming variable band cells in accordance with the instruction. Due to this, when subscribers using the variable band (e.g., UBR) service through an exchange use the exchange with a greater working band width than the allowable band width, the discarding of cells is fairly apportioned out among the subscribers.