A pneumatic and/or hydraulic fastening device having a fixed part adapted to constitute the end part of a first hydraulic circuit of a main operating machine, the fixed part having at least a first hydraulic coupling, the fastening device having a mobile part to constitute the end part of a second hydraulic circuit of a piece of equipment, the mobile part having at least a second hydraulic coupling, wherein the at least one hydraulic coupling of the fixed part and at least one hydraulic coupling of the mobile part are adapted to be hydraulically coupled and the fastening device has a mechanical coupling adapted to be switched between a first position and a second position, wherein the switching of the mechanical coupling into the second position translates into the mechanical coupling of the fixed and mobile parts.