A connecting member for electrically connecting a flat cable with a connector unit mounted on an electric apparatus, wherein an end portion of the flat cable has a projection projecting therefrom and exposed conductor portions of conductor lines in the cable, while the connecting member has a plurality of contacts supported in an insulator for electrically connecting with the connector and for electrically connecting with corresponding ones of the exposed portions. The insulator has a cavity into which a slider of insulator material is inserted together with the flat cable when the connecting member is connected at the end of the cable. The slider has a receiving surface for receiving the flat cable and a stop for engaging the projection of the flat cable to prevent the flat cable from removal of the receiving surface. Each of contacts has a contact portion and an engaging portion projecting in the cavity towards each other. The contact portion comes into contact with corresponding one of the exposed conductor portions, and the engaging portion engages with a corresponding one of recesses formed in the slider to prevent the slider and the cable from removal out of the cavity.