The invention pertains to an electrical, optical or hydraulic connector (1) equipped with an electrical, optical or hydraulic plug, respectively, intended to be connected to an electrical, optical or hydraulic base, that self-aligns the plug (3) relative to the base (5), particularly for “offshore” connections, in which the plug (3) and the base (5) are attached to respective support parts (11, 7) intended to be positioned with respect to one another in order to approximately align the plug (3) and the base (5) in order to connect said plug and base to one another, characterized in that it has a mechanical driving mechanism (19) enabling the plug (3) or the base (5) to move forward or backward, in order to be connected into the base (5) or the plug (3), respectively, and a self-aligning mechanism (17) for the plug (3) or the base (5) relative to the base (5) or the plug (3), respectively.