The invention discloses a connecting fitting for special-shaped wires at a drainage position of an overhead transmission line and a method for connecting the special-shaped wires. The connecting fitting is used for connecting the first wire and the second wire, and the cross section of the first wire is larger than that of the second wire. The connecting fitting for the special-shaped wires comprises a first press connecting pipe and a second press connecting pipe; the second press connecting pipe is arranged in one end of the first press connecting pipe, the second wire is inserted in the second press connecting pipe, and the first wire is inserted in the other end of the first press connecting pipe. The small press connecting pipe is arranged in the large press connecting pipe, therefore, the mechanical hydraulic connection of wires with different diameters can be met, and the defects that in a traditional method, a continuing fitting is selected according to a small cross section, the resistance value of a continuing point is too high in operation, certain potential hazards are caused to the line due to the temperature rising of the continuing point and the skin effect of the wires when a maximum load current passes through the fitting for a long time, the continuing fitting is selected according to the diameter of the wire with the large cross section, the mechanical strength of a continuing press connecting point can not be met, and the holding force to the wires cannot be ensured are avoided.