The invention provides a method for continuously forming curved surface parts by adopting a flexible roller and an elastic roller. The flexible roller and the elastic roller are taken as forming tools, and a sheet material between the flexible roller and the elastic roller is bent and deformed in the longitudinal direction and the transverse direction simultaneously by controlling the contour curved shape of the flexible roller and the reduction of the flexible roller. According to the longitudinal and transverse curvatures of a curved surface forming part and material parameters of the curvedsurface forming part and the elastic roller, the curvature and the reduction of the flexible roller which can compensate rebound deformation are determined, the required contour shape of the flexibleroller is adjusted, the reduction of the flexible roller is controlled at the same time, and the continuous forming of the curved surface parts is realized through the continuous rotation of the flexible roller; and the method is simple to operate and low in cost, provides an effective way for solving the problem of single-piece and small-batch curved surface machining, can meet the requirementsof the metal plastic machining field on new technologies for machining large curved surface parts, and has a wide application prospect.