The invention relates to a security device applicable to containers containing parenteral therapies, such as medicaments, blood products or parenteral nutrition, especially containers (E) provided with an eyelet (O) for hanging the container upside down during administration of the parenteral therapy by gravity. The device comprises: a body having a first part (1) and a second part (2) respectively provided with facing surfaces (11, 21) designed in terms of the shape and dimensions thereof so as to cover the eyelet (O) of the container (E) and render it unusable; and a closing mechanism (3) which immobilizes the device in relation to the container (E) in a position wherein said device covers the eyelet (O), rendering it temporarily unusable.