The embodiment of the invention provides a traffic scheduling method and system of a terminal access network, the method and system are suitable for a network controller. The method comprises the following steps: acquiring the first overstock information of an input queue and the second overstock information of an output queue; acquiring the extra cost overstock information of a previously constructed first virtual queue at a target moment, and acquiring the overtime overstock information of a previously constructed second virtual queue at the target moment; solving a traffic scheduling strategy through the adoption of the previously constructed Lyapunov drift penalty function based on the first overstock information, the second overstock information, the extra cost overstock information and the overtime overstock information; transmitting a data packet which is cached in the input queue and meets the data transfer amount to the output queue through a to be scheduled channel. Through the adoption of the embodiment of the invention, the stability of the traffic scheduling system is guaranteed when a hybrid communication network is used as the access network, and the data transmission cost is lowered.