In this letter, a method for the generation of multimodal vortex waves carrying orbital angular momentum (OAM) is proposed based on the transformation optics concept. The device is equally divided into eight sectors assigned by transformed material parameters, which are determined by solving Laplace’s equation. Sectors with different phase variations from 0 to 2π can be judiciously shuffled to generate vortex beams with different modes. Full wave numerical simulations are performed to validate multimodal OAM beam generation functionality and broadband performance of the proposed device. Such an implementation method opens the door to the application of vortex waves carrying OAM in communication systems.