A catheter assembly hemodialysis, comprising: a connection cone (70) of catheter including a mounting collar (72) having a first and a second surcoslongitudinales (74), the first and second longitudinal grooves (74) define shelves (84) within the link connection cone (70) of the catheter a first and a second hypodermic tubing extending from the connection cone (70) of catheter elpaso fluid a catheter (14) including first and second lumens of the catheter, and which define decabeza and tail ends, the catheter (14) can be mounted on the connection cone (70) catheter with the first and second hypodermic tubing (76) received in the first and second lumens of the catheter in the tail end of the catheter (14) and locking sleeve (78) slidably mounted around the catheter (14), the locking sleeve (78) includes a pair of flanges locking (80) with a fastener locking (82), the tabs locked ( 80) estánadaptadas for receiving the first and second longitudinal grooves (74) with the fixing locking (82) that WILL engage the shelves (84), thereby to secure the locking sleeve (78) in the connection cone ( 70) decatéter wherein said catheter assembly hemodialysis further comprising: a compressible ring (90) inside the locking sleeve (78), the compressible ring (90) estáadaptado to compress the catheter (14) against the hypodermic tubing (76) when the locking sleeve (78) is secured in the connection cone (70) of the catheter, wherein the compressible ring (90) includes unapluralidad deflectable elements (91) disposed with a radial spaced relationship, the elementosdesviables (91) are diverted to inside when the locking sleeve (78) is secured in the link connection cone (70) of the catheter, thereby to engage the tail end of the catheter (14).Un conjunto de catéter de hemodiálisis, que comprende: un cono de conexión (70) de catéter que incluye un collarín de montaje (72) que tiene un primer y un segundo surcoslongitudinales (74), el primer y el segundo surcos longitudinales (74) definen u