Circular markers are widely used in the calibration of fringe projection three-dimensional(3D) measurement systems. To address the eccentricity bias caused by the camera's perspective projection transformation, where the center of the captured ellipse deviates from the true projection point of the circle's center in space, this paper proposes a method to correct the eccentricity bias of circular markers. Firstly, based on the existing eccentricity bias formula, the impact of relative pose changes between the object surface and the camera on the circular eccentricity bias is studied. The effects of factors such as the radius of the circle, the rotation direction of the object surface, and the position distribution of the circle in space are explored. Then, the changes in the relative position between the true circle center and the fitted ellipse’s major and minor axes after perspective projection are analyzed, and a compensation model for solid circle eccentricity bias is established. Finally, using linear fitting based on the compensation model, the circular eccentricity bias is corrected. Experimental results show that compared to direct ellipse fitting, the proposed method reduces measurement error by 13.7%, significantly improving system calibration and measurement accuracy.