A method for reconstruction surfaces map on iterative algorithm is presented. According to flipping and rotationg one of the two plates, four measurements are generated. The formulas are directly derived from four measurements that require rotation or flipping operations. Three trial surfaces are initialized, then the new surfaces are calculated according to the formulas. The trial surfaces are replaced by the new surfaces. The experiment shows that this method can achieve a deviation of 0.1 nm, which only requires no more than 50 iterations．And the error sources are analyzed in detail. The total measuring error of this method is 1.417 nm.