A method of manufacturing an electrical wire connecting structure in which a terminal having a tube-shaped portion and a conductor portion of a covered electrical wire are crimp-connected to each other, comprising: preparing a terminal having a tube-shaped portion of 1.5 to 2.0mm in inner diameter for a covered electrical wire in which the area of a conductor portion in cross-section vertical to a longitudinal direction of the covered electrical wire ranges from 0.72 to 1.37mm 2; wherein the tube-shaped portion is configured as a hollow tube that is closed at the end opposite to the electrical wire insertion port opening, and comprises a diameter increasing portion and a cylindrical portion between the closed end portion and the electrical wire insertion port opening the preparation being done by punching a metal base material, bending the punched material so that the cross-section thereof is C-shaped, and butting and joining the open end faces of the C-shaped structure by a weld bead portion extending in the axial direction of the tube-shaped portion made by laser welding; characterized in that the diameter increasing portion and the cylindrical portion of the tube-shaped portion are formed by press working and laser welding as a stepped tube having plural tube aperture diameters, which plural aperture diameters comprise four different diameters and are configured to increase in diameter towards the electrical wire insertion port opening; stripping the end of the covered electrical wire and inserting the stripped portion and a portion of the remaining unstripped part of the covered electrical wire into the electrical wire insertion port of the tube-shaped portion; and crimp-connect the tube-shaped portion to the insulating cover portion and to the stripped conductor portion of the electrical wire. preparing a terminal having a tube-shaped portion of 1.5 to 2.0mm in inner diameter for a covered electrical wire in which the area of a conductor portion in cross-section vertical to a longitudinal direction of the covered electrical wire ranges from 0.72 to 1.37mm 2; wherein the tube-shaped portion is configured as a hollow tube that is closed at the end opposite to the electrical wire insertion port opening, and comprises a diameter increasing portion and a cylindrical portion between the closed end portion and the electrical wire insertion port opening the preparation being done by punching a metal base material, bending the punched material so that the cross-section thereof is C-shaped, and butting and joining the open end faces of the C-shaped structure by a weld bead portion extending in the axial direction of the tube-shaped portion made by laser welding; characterized in that the diameter increasing portion and the cylindrical portion of the tube-shaped portion are formed by press working and laser welding as a stepped tube having plural tube aperture diameters, which plural aperture diameters comprise four different diameters and are configured to increase in diameter towards the electrical wire insertion port opening; stripping the end of the covered electrical wire and inserting the stripped portion and a portion of the remaining unstripped part of the covered electrical wire into the electrical wire insertion port of the tube-shaped portion; and crimp-connect the tube-shaped portion to the insulating cover portion and to the stripped conductor portion of the electrical wire.