Connector for a device for rectifying the current produced by the stator of a polyphase electrical rotating machine, in particular a motor vehicle alternator, including a voltage regulator provided with a control component, said connector comprising electrical conductors (40, 42, 44, 64) for forming arms of the current-rectifying device and a body made of electrically insulating material, such as plastic, in which: - electrical conductors (40, 42, 44, 64), each having a terminal (52, 70) for connecting to one of the phases (u, v, w- u', v', w') of the electrical machine, are embedded; - said connector incorporates the voltage regulator of the electrical machine comprising a body made of the same material as and integrally formed with the body of the connector; - at least one of said conductors (40, 42, 44) is connected to the control component of the voltage regulator of the electrical machine; - the current-rectifying device includes current-rectifying elements provided with electrodes, which elements are associated with the arms; - the electrical conductors (40, 42, 44) each have at least two connecting terminals, positioned angularly remote from one another in such a way that connecting electrodes of current-rectifying elements (18, 20) of each of the arms of the rectifying device, which electrodes are provided so as to be positioned on one and the same circular arc, are able to make contact with said connecting terminals; - all or some of the conductors (40, 42, 44) comprise a main branch bearing, at its internal periphery, the connecting terminals for the electrodes of the current-rectifying elements (18, 20) of the corresponding conductor and bearing, at its external periphery, a connecting terminal for one of the phases of the electrical machine of the conductor, which connecting terminal is provided so as to be radially remote from said connecting terminals for the electrodes of the rectifying elements; - the main branch has a radial overall orientation and is extended, at its internal periphery, by two portions (54, 56) each bearing one of the connecting terminals for the electrodes of the rectifying elements, each said portion (54, 56) being angularly in the extension of one another and axially offset with respect to one another, said portions (54, 56) being joined together at one of their ends so as to define the main branch in the form of an arm bearing the connecting terminal for one of the phases of the electrical machine. - electrical conductors (40, 42, 44, 64), each having a terminal (52, 70) for connecting to one of the phases (u, v, w- u', v', w') of the electrical machine, are embedded; - said connector incorporates the voltage regulator of the electrical machine comprising a body made of the same material as and integrally formed with the body of the connector; - at least one of said conductors (40, 42, 44) is connected to the control component of the voltage regulator of the electrical machine; - the current-rectifying device includes current-rectifying elements provided with electrodes, which elements are associated with the arms; - the electrical conductors (40, 42, 44) each have at least two connecting terminals, positioned angularly remote from one another in such a way that connecting electrodes of current-rectifying elements (18, 20) of each of the arms of the rectifying device, which electrodes are provided so as to be positioned on one and the same circular arc, are able to make contact with said connecting terminals; - all or some of the conductors (40, 42, 44) comprise a main branch bearing, at its internal periphery, the connecting terminals for the electrodes of the current-rectifying elements (18, 20) of the corresponding conductor and bearing, at its external periphery, a connecting terminal for one of the phases of the electrical machine of the conductor, which connecting terminal is provided so as to be radially remote from said connecting terminals for the electrodes of the rectifying elements; - the main branch has a radial overall orientation and is extended, at its internal periphery, by two portions (54, 56) each bearing one of the connecting terminals for the electrodes of the rectifying elements, each said portion (54, 56) being angularly in the extension of one another and axially offset with respect to one another, said portions (54, 56) being joined together at one of their ends so as to define the main branch in the form of an arm bearing the connecting terminal for one of the phases of the electrical machine.