A connector including a receptacle connector and a plug connector. The receptacle connector includes a receptacle insulator in which an accommodation recess is formed, and receptacle contacts mounted on a circuit board, supported by the receptacle insulator. The plug connector includes a plug insulator which is accommodated in the accommodation recess, plug contacts which are supported by the plug insulator, and cables, one ends of which are connected to the plug contacts. Each receptacle contact includes a bifurcated connecting portion. Each plug contact includes a contacting portion held between a bifurcated connecting portion. Engaging/holding grooves are formed on a portion of the plug insulator which faces a bottom surface of the accommodation recess. Each contacting portion is shaped into a flat plate which projects in an opposite direction to that of the other ends of the cables. The receptacle contacts are orientated in a common direction.