A male terminal fitting, comprising: a contact portion to be brought into contact with a female terminal fitting, a tube portion located behind the contact portion and formed to be wider than the contact portion, and a linking portion provided between the tube portion and the contact portion and gradually widened from the contact portion toward the tube portion, wherein: the linking portion includes a base surface portion substantially continuous with the contact portion and the tube portion, one or more side surface portions (10; 11) substantially continuous with the contact portion and the tube portion and standing from the base surface portion, and a ceiling surface portion substantially continuous with the contact portion, an unconnected edge unconnected with the ceiling surface portion is formed at the front edge of the corresponding surface of the tube portion, wherein: the contact portion includes an introducing portion located at or close to a leading end of the contact portion, a principal portion substantially continuous behind the introducing portion, and a widening portion which substantially continuous behind the principal portion which is moderately sloped up toward the tube portion, characterized in that the ceiling surface portion is formed to have a uniform width, and the rear edge thereof is connected with part of the front edge of the corresponding surface of the tube portion, the width of the rear edge of the ceiling surface portion being set to be smaller than, preferably substantially half the width of the front edge of the corresponding surface of the tube portion, whereby the part of the front edge of the corresponding surface of the rectangular tube portion that is not connected with the ceiling surface portion of the linking portion constitutes the unconnected edge. a contact portion to be brought into contact with a female terminal fitting, a tube portion located behind the contact portion and formed to be wider than the contact portion, and a linking portion provided between the tube portion and the contact portion and gradually widened from the contact portion toward the tube portion, wherein: the linking portion includes a base surface portion substantially continuous with the contact portion and the tube portion, one or more side surface portions (10; 11) substantially continuous with the contact portion and the tube portion and standing from the base surface portion, and a ceiling surface portion substantially continuous with the contact portion, an unconnected edge unconnected with the ceiling surface portion is formed at the front edge of the corresponding surface of the tube portion, the linking portion includes a base surface portion substantially continuous with the contact portion and the tube portion, one or more side surface portions (10; 11) substantially continuous with the contact portion and the tube portion and standing from the base surface portion, and a ceiling surface portion substantially continuous with the contact portion, an unconnected edge unconnected with the ceiling surface portion is formed at the front edge of the corresponding surface of the tube portion, wherein: the contact portion includes an introducing portion located at or close to a leading end of the contact portion, a principal portion substantially continuous behind the introducing portion, and a widening portion which substantially continuous behind the principal portion which is moderately sloped up toward the tube portion, characterized in that the ceiling surface portion is formed to have a uniform width, and the rear edge thereof is connected with part of the front edge of the corresponding surface of the tube portion, the width of the rear edge of the ceiling surface portion being set to be smaller than, preferably substantially half the width of the front edge of the corresponding surface of the tube portion, whereby the part of the front edge of the corresponding surface of the rectangular tube portion that is not connected with the ceiling surface portion of the linking portion constitutes the unconnected edge. the contact portion includes an introducing portion located at or close to a leading end of the contact portion, a principal portion substantially continuous behind the introducing portion, and a widening portion which substantially continuous behind the principal portion which is moderately sloped up toward the tube portion, characterized in that the ceiling surface portion is formed to have a uniform width, and the rear edge thereof is connected with part of the front edge of the corresponding surface of the tube portion, the width of the rear edge of the ceiling surface portion being set to be smaller than, preferably substantially half the width of the front edge of the corresponding surface of the tube portion, whereby the part of the front edge of the corresponding surface of the rectangular tube portion that is not connected with the ceiling surface portion of the linking portion constitutes the unconnected edge.