Abstract: A connector is provided with crimping pieces that can be crimped into connection with a wire. The first and second crimping pieces (11, 12) are curved during crimping such that leading edges (11A, 12A) are inclined inwardly to a reduced diameter, and then are crimped into connection with a wire (W). The second crimping piece (12) is partly thinned at a position along its extending direction, to ensure that the leading edge (12A) can be bent inwardly. Thus, a crimping error resulting from such a deformation as to incline the leading edge (12A) in a direction opposite from an intended one can be prevented.