A connector system for administration of medical fluid including, a male connecting element (300) having a body that includes a distal portion (320) ending at a distal end (321) and a proximal portion (310) ending at a proximal end, a lumen (315) defined through the body for the passage of liquid from the distal end to the proximal end, a female connecting element (10) defining a sheath (30) to receive the distal portion (320) of the male connecting element (300), extending on a distal end (32) of the sheath (30) a partition (40) having a central region (41) and a peripheral region (42), in which the central region ( 41) of the partition (40) is formed from a material that is between 1.5 and 400 times thicker than the material that forms the peripheral region (42) of the partition (40) that surrounds the central region, and the distal end of the male connection element includes breaking means (365, 375) of the peripheral region (42) of the partition when the male connection element is received in the female connection element forming a connection, and in which the male connection element (300) is an infusion equipment perforator for the administration of medical fluids, and the female connection element (10) forms an access hole to a medical fluid container.Un sistema conector para administración de fluido médico incluyendo, un elemento de conexión macho (300) que tiene un cuerpo que incluye una porción distal (320) que termina en un extremo distal (321) y una porción próxima (310) que termina en un extremo próximo, un lumen (315) definido a través del cuerpo para el paso de líquido desde el extremo distal al extremo próximo, un elemento de conexión hembra (10) que define una vaina (30) para recibir la porción distal (320) del elemento de conexión macho (300), extendiéndose sobre un extremo distal (32) de la vaina (30) un tabique (40) que tiene una región central (41) y una región periférica (42), en el que la región central (41) del tabique (40) se forma a partir d