A method for producing a tubular component provided at each of its two ends with a threaded element comprising a male or female thread and a makeup stop abutment (15-1, 15-2) that can form part of a string of tubular components in which two consecutive components (10-2, 10-1) are mutually assembled by making up the male thread of one threaded element of one component into the female thread of one threaded element of the other component, the corresponding stop abutments (15-2, 16-1) coming into mutual bearing contact, the method comprising the following steps: a) mounting the component in a chuck of a lathe; b) machining a first threaded element at one end of the component using the lathe; c) revolving the component in the lathe chuck; and d) machining a second threaded element at the other end of the component by means of the lathe, using a machining tool that is displaced with respect to the frame of the lathe under the control of a program, from a given position; characterized in that: • between steps b) and c): e) a first orientation gauge is screwed onto the first threaded element, the gauge comprising a thread that matches that of the first threaded element and a makeup stop abutment and having a mark on its external periphery, to bring the stop abutments of the threaded element and the orientation gauge into mutual bearing contact; f) an orientation mark axially aligned with the mark on the orientation gauge is drawn on the external periphery of the component; • during step c), the component is so disposed that its orientation mark is located in the same angular position with respect to the chuck as in step f); • during step d), the starting position of the tool is defined after at least one preliminary test in which steps a), b), e), f), c) and d) are followed by the following steps: g) a second orientation gauge comprising a thread matching that of the second threaded element and a makeup stop abutment and having a mark on its external periphery is screwed onto the second threaded element to bring the stop abutments of the threaded element and the orientation gauge into mutual bearing contact; the orientation gauge used during step g) being the first orientation gauge if the threads of the first and second threaded elements are both male or both female, or being of a matching type to the first orientation gauge and having its mark axially aligned with the mark of the first orientation gauge when the first and second orientation gauges are screwed into abutment if one of the threaded elements is male and the other is female; and h) the angular offset between the marks (11, 4) on the component and the orientation gauge is compared with a pre-defined set value Q and the new starting position of the machining tool is defined as being axially offset with respect to the initial position by a quantity determined as a function of the direction and amplitude of any existing deviation. a) mounting the component in a chuck of a lathe; b) machining a first threaded element at one end of the component using the lathe; c) revolving the component in the lathe chuck; and d) machining a second threaded element at the other end of the component by means of the lathe, using a machining tool that is displaced with respect to the frame of the lathe under the control of a program, from a given position; characterized in that: • between steps b) and c): • between steps b) and c): e) a first orientation gauge is screwed onto the first threaded element, the gauge comprising a thread that matches that of the first threaded element and a makeup stop abutment and having a mark on its external periphery, to bring the stop abutments of the threaded element and the orientation gauge into mutual bearing contact; f) an orientation mark axially aligned with the mark on the orientation gauge is drawn on the external periphery of the component; • during step c), the component is so disposed that its orientation mark is located in the same angular position with respect to the chuck as in step f); • during step d), the starting position of the tool is defined after at least one preliminary test in which steps a), b), e), f), c) and d) are followed by the following steps: • during step c), the component is so disposed that its orientation mark is located in the same angular position with respect to the chuck as in step f); • during step d), the starting position of the tool is defined after at least one preliminary test in which steps a), b), e), f), c) and d) are followed by the following steps: g) a second orientation gauge comprising a thread matching that of the second threaded element and a makeup stop abutment and having a mark on its external periphery is screwed onto the second threaded element to bring the stop abutments of the threaded element and the orientation gauge into mutual bearing contact; the orientation gauge used during step g) being the first orientation gauge if the threads of the first and second threaded elements are both male or both female, or being of a matching type to the first orientation gauge and having its mark axially aligned with the mark of the first orientation gauge when the first and second orientation gauges are screwed into abutment if one of the threaded elements is male and the other is female; and h) the angular offset between the marks (11, 4) on the component and the orientation gauge is compared with a pre-defined set value Q and the new starting position of the machining tool is defined as being axially offset with respect to the initial position by a quantity determined as a function of the direction and amplitude of any existing deviation.