A method for manufacturing an annular tribological component in the form of a seal or a sliding bearing of a brittle material. In order to attain the necessary sealing action even with a segmented construction, without expensive reprocessing being necessary in connection with the manufacture of segment surfaces bounding on one another, it is proposed that the annular component be formed of segments made by breaking a ring element and that the segments be assembled such that fractured surfaces fitting one another lie one upon the other.