A connection system for connecting two devices, namely a mold base for containers and a saddle, with fluid communication between the two devices, the connection system comprising a male portion which can be attached to a first device among the two devices, and a female portion, which can be attached to a second device among the two devices, the male portion and the female portion each comprising a conduit, the respective conduits of the male and female portions (2, 4) being intended to be arranged in the extension of each other when the male portion and the female portion are connected, in order to allow the transport of a fluid between the two devices attached by the male and female portions (2, 4), a drive part having a slide portion provided with a radial bore, and a radially movable drive member inside the radial bore, a cavity, arranged on one of the portions among the male portion and the female portion, and a radial projection, arranged on the other of the portions among the male portion and the female portion, the radial projection being designed to drive the drive member into the cavity during a translation of the drive part, in order to bear the drive member against a face of the cavity, the drive part being movable in translation in a direction substantially parallel to an axis of insertion of the male portion in the female portion, between a disconnection position in which the drive member bears against a first side of the radial projection and at a distance from the cavity to authorize the disconnection of the male portion and the female portion, and a connection position in which the drive member bears against a second side of the radial projection and simultaneously bears against a face of the cavity in order to block the male portion in the female portion, wherein the drive part comprises a piston adapted to slide in an actuation chamber of the connection system under the effect of a pressure force exerted by a fluid on said piston, the piston being attached to the slide portion so as to displace the drive part to one of the positions among the connection position and the disconnection position under the effect of said pressure force, the connection system further comprising control means for triggering the application of said pressure force on the piston, characterized in that the female portion comprises a central tubular portion delimiting the conduit, and an outer tubular portion, the male portion comprising a tubular skirt delimiting a hollow space intended to receive the central tubular portion of the female portion, said tubular skirt of the male portion being intended to be inserted between the central tubular portion and the outer tubular portion of the female portion. a male portion which can be attached to a first device among the two devices, and a female portion, which can be attached to a second device among the two devices, the male portion and the female portion each comprising a conduit, the respective conduits of the male and female portions (2, 4) being intended to be arranged in the extension of each other when the male portion and the female portion are connected, in order to allow the transport of a fluid between the two devices attached by the male and female portions (2, 4), a drive part having a slide portion provided with a radial bore, and a radially movable drive member inside the radial bore, a cavity, arranged on one of the portions among the male portion and the female portion, and a radial projection, arranged on the other of the portions among the male portion and the female portion, the radial projection being designed to drive the drive member into the cavity during a translation of the drive part, in order to bear the drive member against a face of the cavity, the drive part being movable in translation in a direction substantially parallel to an axis of insertion of the male portion in the female portion, between a disconnection position in which the drive member bears against a first side of the radial projection and at a distance from the cavity to authorize the disconnection of the male portion and the female portion, and a connection position in which the drive member bears against a second side of the radial projection and simultaneously bears against a face of the cavity in order to block the male portion in the female portion, wherein the drive part comprises a piston adapted to slide in an actuation chamber of the connection system under the effect of a pressure force exerted by a fluid on said piston, the piston being attached to the slide portion so as to displace the drive part to one of the positions among the connection position and the disconnection position under the effect of said pressure force, the connection system further comprising control means for triggering the application of said pressure force on the piston, characterized in that the female portion comprises a central tubular portion delimiting the conduit, and an outer tubular portion, the male portion comprising a tubular skirt delimiting a hollow space intended to receive the central tubular portion of the female portion, said tubular skirt of the male portion being intended to be inserted between the central tubular portion and the outer tubular portion of the female portion.