Various exemplary shaping apparatuses for shaping packets stored in queues are provided. The shaping apparatus includes a token bucket that accumulates tokens with a predetermined rate. When a number of tokens accumulated in the token bucket is equal to or larger than a reference number corresponding to a maximum packet length that the queues may store, the shaping apparatus allows one of the packets stored in the queues to transmit and subtracts a number of tokens corresponding to a length of the packet allowed to be transmitted. Various exemplary communication control apparatuses that incorporate the shaping apparatuses are also provided.