A reconfigurable flexible multi-point forming method was developed and its working principle was introduced. Arbitrarily three-dimensional curved surface can be formed just by adjusting the relative height of the upper punch matrixes and the forming load can be controlled easily through lower punch matrixes by hydraulic pressure. Different working modes can be obtained according to the punches movement sequence or their relative positions. The sheet metal surface is constrained by the rotating hemisphere hinge punches in the whole deforming process and cover the full surface which achieves an effectively control on the sheet metal forming defects especially on wrinkling. Numerical simulation and practical forming are performed to prove the advantages of the method and to expose the wrinkling elimination mechanism. The results indicate that the method can suppress the wrinkle efficiently and the forming surface can be constructed arbitrary.