We report the development of a THz time-domain spectroscopy ellipsometry setup to generate and probe vortex beams carrying orbital angular momentum (OAM). Extending structured light to the THz domain opens new opportunities to investigate light–matter interactions beyond the electric dipole approximation. THz vortex beams with tunable OAM and polarization are generated using 3D-printed spiral phase plates (SPPs) or a double-axicon. Full spatial, polarization, and phase-resolved mapping is achieved via time-domain measurements combined with polarization analysis and aperture scanning. Results confirm the ability of the setup to generate vortex beams with controlled OAM and expected properties, enabling future studies of OAM-dependent light–matter interactions in quantum materials.