A continuous flexible conduit is formed from like-configured components, each having a male joint member and a female joint member with a passageway extending therethrough. The female joint member is over-molded about a corresponding male joint member to form a substantially fluid-tight articulating joint. In a method of producing the flexible conduit, a single-shot molding process is used to form each like-configured component, with each newly formed component indexed within the single-shot mold so that the male joint member is within the female mold cavity for the formation of the next component. In an alternative embodiment, a continuous conduit is formed of two different sets of like configured components—one set having only female joint members and the other set having only male joint members. A two-shot molding process is described for continuous production of the flexible conduit using these two sets of components.