A key technology issue firstly faced in studding and designing membrane faced rockfill dam (MFRD) is that at perimeter of surface membrane, under definite depth of water, “anchorages of surface membrane” are formed and then “anchoring influences”, affecting the safety of faced membrane, are produced. Based on material test and structure analysis, the forming mechanism of anchoring influence is analyzed and the necessary and sufficient conditions of anchoring influence formed are proposed. After designing structure experiment model of anchoring influence at perimeter of surface membrane on MFRD, it is proved by preliminary experiment that anchoring influence cannot be avoid if surface membrane is placed on dam according to traditional way. Based on a full consideration of construction technology and sufficient conditions of anchoring influence formed, the idea of eliminating anchoring influence under the condition of no damage of surface, one should increasing the initial gauge length between anchorages of surface membrane in order to substitute geometry deformation for the material deformation between anchorages of surface membrane during dam displacement. The approach of design is that the paving line of surface membrane is high to anchoring line, thus the paving line of surface membrane goes back to anchoring line after displacement of the dam surface.