Aiming at the problem of folding methods for deployable parabolic cylindrical antennas with high storage ratio, a reverse parameterized model from known 3D parabolic cylindrical surface to unknown 2D plane fold is established based on the classical six-fold origami structures. In order to meet the large-angle rotation requirements of the parabolic cylindrical antenna in cylindrical direction, a method is proposed to achieve the folding of the cylindrical width to a large angle by adding large folding elements. Finally, according to the folding method proposed in this paper, an experimental verification was carried out using polyimide film, a commonly used material in aerospace. The results show that the sample storage capacity is increased by 5.27 times compared with the ordinary parabolic antenna after the folding unit enlarged, which confirms the correctness of the method proposed in this paper. The crease reverse parameterization design method can provide a reference for the folding mode of parabolic antenna, and can be extended to multiple configuration structures with strong adaptability.