Mechanical grinding processes is the most popular way to fabricate the endface of optical fibers, although there are some other methods like chemical etching and leaser machining. Mechanical grinding has its uniqueness in cases of grinding Conical-Wedge-Shaped Fiber Endface¡]CWSFE¡^, polygon-cone-shape fiber endface and fiber endface with double-variable curvatures. Despite Mechanism Design Lab of National Sun Yat-sen university has successfully developed Unsymmetrical Fiber Endface Grinding Mechanism and Torque-Control Fiber Endface Grinding Mechanism in NSC 94-2212-E-230-005 and NSC 95-2221-E-230-020, it still face difficulties when fabricating the fiber endface with double-variable curvatures due to the mechanism constraints. In this study, the focus are concentrated on both the designing and implementing of a mechanism for grinding optical-fiber endface with double-variable curvatures, which controls Material Removal Rate by simultaneously and periodically adjusting the relative positions, as well as the normal pressure between the fiber endface and the grinding film. This study is composed of first, the reviewing the anterior references, both the papers and the patents, and then a series of engineering design methods, which involve the design requirements and constraints, conceptual design, evaluating alternatives, detail design, assembly and calibration. The mechanism, the research result, and those needed to be ameliorated will be demonstrated in the conclusion and discussion part, so as to offer the investigating direction in the future. It¡¦s believed that the grinding machine system developed in this study can be successfully applied to fabricating optical fiber lenses as well as different types of micro probes , micro electrodes, and micro spectroscopefors for other applications, with little adjustment of the jig and ferrule of this machine .