A quick connector element (100) which is used to detachably connect a flexible hose (3) to a rigid pipe (4) having a peripheral bulge (41) on the end thereof, which is composed of a hollow cylindrical body (2) and a retaining element (1) mounted onto this body (2), the said body (2) having a tail portion (22) which has an external face in toothed, grooved or smooth form and a mouth portion (21) on which two opposing peripheral slots (25) are disposed; wherein the said retaining element (1) is composed of - a fixing portion (12) that seats onto the flexible hose (3) and undetectably secures the flexible hose (3) on the tail portion (22) and - a latching portion (11) that is composed of a web (111) and flexible shanks (112) which extend from both ends of this web (111) and engage with the peripheral bulge (41) of the rigid pipe (4) by passing through the said slots (25) on the body (2) at both sides.