In recent years, GPS geodesy and deformation monitoring applications increasingly wide range of GPS measured elevation of the earth elevation. However, the elevation of China's application system is based on a system like the normal elevation of the geoid. Not parallel to the earth elevation plane and quasi-geoid height anomaly. GPS elevation only after the abnormal elevation of the correction can be applied to engineering measurement and Urban systems. So, how to strike a high-precision height anomaly GPS Height into the key issues. This article describes the GPS Height, normal high and is high concept and three mutual relationship between the height anomaly concept, and described the principle of GPS Height, in the collection, access, and analysis in recent years at home and abroad for GPS a high standard of research methods and technology, and draws on the results of these studies on the basis of our national land area is wide, the terrain is particularly complex, large features like the geoid undulation. Using a variety of fitting methods (polynomial curve fitting, polynomial surface fitting, multi-faceted function fitting, flat-fitting) on the quasi-geoid fitting. Yanzhou Coal Mining GPS measured data and geometric standards as the known data, to be legitimate, polynomial surface fitting and plane fitting to fitting polynomial curve. Then, the MATLAB language programming on all of the algorithms in this paper and case analysis, comparison and research. And draw some conclusions