An opening/closing structure for a tea-leaf filtering box of tea-brewing device is disclosed. The opening/closing a filtering box includes a body and a lid provided with a plurality of pores, the body including a frame body at the edge thereof, a bottom edge frame body and a plurality of supporting wire, characterized in that a bottom board is provided to the bottom frame body, and the center of the board and the center of the lid are respectively provided with a female threaded rod and a screw rod corresponding to each other, the screw rod passes through the top surface end of the lid and is pivotally connected to a lifting rod, thereby the rotating of the lifting will cause the screw rod to connect with the female threaded rod or to unscrew to dislocate with the lid so as to either lifting up the container or to lower the container to brew tea. The repeating process of lifting up and lowering down the tea leaf-filtering box can expedite the brewing of tea.