A connector for gripping a flat flexible cable by elastically deforming two opposing contact beams is provided. The electrical connector for a flat flexible connector according to the present invention is such that in a contact portion in which two contact beams and a base beam holding them are integrally formed, the opposing free ends of the two contact beams are positioned so as to have points of contact with an FPC when the FPC is inserted, in the shape of their natural state without receiving any external forces, and by elastically deforming the other end of one of the contact beams while holding the FPC by means of stresses from the contact beams, further stress can be applied to the other contact beam, so as to achieve a firm grip on the FPC by support at three points at a rear end portion of one of the contact beams, the portion of attachment of the contact beams and the point of contact between the first contact beam and the FPC.