Object, specifically a medical module, provided with a fixing device for fixing it in a preferential spatial position to an essentially vertical support or an essentially horizontal support, fixing device that is provided with fixing means that can pivot with respect to the object to be fixed90 ° around an axis (P) and which allows the fixing to the vertical support or to the horizontal support indistinctly, the pivoting fixing means comprising a pivoting plate (10), fixed to one of the walls of the object to be fixed, preferably the rear wall , in order to pivot with respect to the object to be fixed around the axis (P) at least 90 ° between a first position that allows the object to be fixed to a vertical support and a second position that allows the object to be fixed even to a horizontal support, and of fastening means (20) integral with the pivoting plate (10) for tightening the pivoting fixing means to The vertical support or the horizontal support, characterized in that the tightening means can pivot with respect to the plate (10) around an axis (N) in order to be able to fold them against the plate (10) or straighten them perpendicularly to said plate (10).Objeto, concretamente un módulo médico, dotado de un dispositivo de fijación para fijarlo en una posiciónespacial preferente a un soporte esencialmente vertical o un soporte esencialmente horizontal, dispositivode fijación que está dotado de medios de fijación que pueden pivotar con respecto al objeto que va a fijarse90° alrededor de un eje (P) y que permite indistintamente la fijación al soporte vertical o al soportehorizontal, comprendiendo los medios de fijación pivotantes una pletina (10) pivotante, fijada a una de lasparedes del objeto que va a fijarse, preferiblemente la pared posterior, con objeto de poder pivotar conrespecto al objeto que va a fijarse alrededor del eje (P) al menos 90° entre una primera posición quepermite la fijación del objeto a un soporte vertical y una segunda posición que perm