Abstract: A connecting box for multi-optical fiber cables includes a plurality of container trays each adapted to contain surplus lengths of end portions of optical fibers, the plurality of trays being stacked one upon another. Each of the trays has a pair of receptive guide portions provided respectively at its opposite ends adjacent to one of the lateral sides of the trays so that each of the receptive guide portions can receive the optical fiber. Each tray is hingedly connected to each adjacent tray at the one lateral side thereof in a releasable manner. Each tray is pivotally movable with respect to each adjacent tray about an axis extending in the direction of said one lateral side. With this construction, the portions of the optical fibers extending outwardly from each receptive guide portion are not subjected to slack even when adjacent trays are pivotally moved away from and toward each other.