In a structure 21 for connecting an electric wire and a connecting terminal in the invention, a ductile metal film 29 is formed in advance on an inner surface of a conductor caulking portion 24 of a crimp terminal 22 by such as plating, vacuum deposition, or adhesion. Then, the conductor caulking portion 24 in the rear portion of the crimp terminal 22 is caulked onto core wire portions M in a state of being stripped and extended in the axial direction from an end of a sheathed wire W to thereby establish connection. Subsequently, the metal film 29 is fused on heating. Accordingly, the ductile metal film 29 enters gaps between the inner surface of the conductor caulking portion 24 and the core wire portions M and between adjacent ones of the core wire portions M by the caulking stress. Hence, the area of contact between the conductor caulking portion 24 and the core wire portions M via the metal film 29 increases, and conductivity improves, thereby making it possible to suppress heat generation.