A connector comprises contact pins, an insulator and a supplementary insulator. Each of the contact pins comprises a supported portion and a contact end. The insulator comprises accommodation portions which accommodate the respective contact pins. Each of the accommodation portions is provided with a supporting portion which includes a supporting surface and supports the supported portion of the corresponding contact pin. The supplementary insulator is fixedly held by the insulator. At least one part of the supported portion of the contact pin is placed between the supporting surface and the supplementary insulator in a Z-direction. Therefore, the supported portion always straightly extends in a Y-direction so that the contact end can be surely positioned at a predetermined position.