A connector for connecting an electric cable to an electric device having an insertion opening provided for electric cable connection, the connector comprising: a metal terminal part on which conductive wires exposed outside at an end of the electric cable are pressure-contacted; a housing for accommodating the end of the electric cable and the metal terminal part; and a tube-like cover member (11, 11a) for covering the housing and fixing the housing to the electric device, said tube-like cover member having both ends fully free; wherein the housing has an electric cable insertion hole through which the electric cable is insertable; and the housing includes position restriction means (10d, 10c) to restrict relative positions between the housing and the cover member (11, 11a), the position restriction means being restricted, by the electric cable inserted into the electric cable insertion hole, from being displaced; whereby the housing is formed of a flexible resin; the position restriction means (10d, 10c) comprise an engageable member integrally formed in the housing, the engageable member being engageable with, and stopping, an edge of the cover member to restrict the relative positions between the housing and the cover member; the positions restriction means (10d, 10c) further comprise a convexed part to further restrict the relative positions between the housing and the cover member, the engageable member is provided at an end of the electric cable insertion hole in a direction in which the electric cable is insertable; and the engageable member is displaceable toward a center of the electric cable insertion hole in a radial direction thereof, characterized in that the housing includes a plurality of the electric cable insertion holes for allowing a plurality of the electric cables to be inserted thereinto; the engageable member has a width which is substantially the same as a distance between centers of two outer electric cable insertion holes among the plurality of electric cable insertion holes. a metal terminal part on which conductive wires exposed outside at an end of the electric cable are pressure-contacted; a housing for accommodating the end of the electric cable and the metal terminal part; and a tube-like cover member (11, 11a) for covering the housing and fixing the housing to the electric device, said tube-like cover member having both ends fully free; wherein the housing has an electric cable insertion hole through which the electric cable is insertable; and the housing includes position restriction means (10d, 10c) to restrict relative positions between the housing and the cover member (11, 11a), the position restriction means being restricted, by the electric cable inserted into the electric cable insertion hole, from being displaced; whereby the housing is formed of a flexible resin; the position restriction means (10d, 10c) comprise an engageable member integrally formed in the housing, the engageable member being engageable with, and stopping, an edge of the cover member to restrict the relative positions between the housing and the cover member; the positions restriction means (10d, 10c) further comprise a convexed part to further restrict the relative positions between the housing and the cover member, the engageable member is provided at an end of the electric cable insertion hole in a direction in which the electric cable is insertable; and the engageable member is displaceable toward a center of the electric cable insertion hole in a radial direction thereof, characterized in that the housing includes a plurality of the electric cable insertion holes for allowing a plurality of the electric cables to be inserted thereinto; the engageable member has a width which is substantially the same as a distance between centers of two outer electric cable insertion holes among the plurality of electric cable insertion holes.