A female element for a quick connection for removably joining pipes of fluid under pressure and which is adapted to receive a male element. The female element includes at least one locking member movable within a guide channel that extends transverse with respect to an axis of fit of the male and female elements and which member has one end which is configured and adapted to be cooperatively engaged in a peripheral groove of the male element. The locking member is also provided with a tab which projects radially with respect to a body of the female element and which is cooperatively engaged by two portions of a control ring that is movable over the body of the female element in order to move the locking member within the guide channel between an inner locking position and an outer release position.