Abstract: Aiming at the problems of low positioning accuracy and complex replacement process of special fixtures for non-rotating cone-shaped workpieces, combined with the structural shape characteristics of non-rotating cone-shaped workpieces and the clamping and positioning requirements, a positioning scheme was designed according to the six-point positioning principle, the design and research of a fixture system for fast clamping and positioning of non-rotating conical workpieces was presented. A three-dimensional model of a non-rotating conical workpiece fixture was established, and the method of adjusting the co-axiality of the non-rotating conical workpiece was explored, and the influence of the radial adjustment device on the accuracy of the concentricity was analyzed. The tool positioning adjustment experiment realizes that the co-axiality of the workpiece can achieve ≤ Φ0.01 mm, which provides theoretical guidance for the design of the fixture and the co-axiality positioning adjustment of this type of workpiece.