<p>The connection piece (6) fits a tubular electric actuator comprising a motor (2) and a device (4) for controlling said motor. It enables the motor (2) to be electrically linked to the control device (4). It is characterized in that it is mounted on the control device (4) with axial clearance and angular clearance enabling it to be positioned on the motor (2) with the aid of positioning means (19,15) when the actuator is assembled. Actuator assembly can be automated using said connection piece (6).</p>