Abstract: This paper discusses the ellipsoid transformation problem in the establishment of local independence coordinate reference system using GPS technique. Based on a general ellipsoid selection model, describes the ellipsoid expanding model, the ellipsoid shift model and the ellipsoid distortion model respectively and systematically. The similar and different points of these models are analyzed in the view of theoretical approach according the generalized geodesy differential coefficient formula. A new numerical analysis factor is given to describe the impact of before and after the transformation between different ellipsoids.