Ramie is a plant whose fibers are used in fabrics. Ramie films are prepared by hot pressing and studied with transmission Mueller-matrix ellipsometry, which provides a complete description of polarizing and depolarizing sample properties. Symmetries of the Mueller matrices imply that the ramie films are linearly birefringent and act as waveplates. The linear birefringence is quantified by the differential decomposition of the Mueller matrices and the materials' birefringence is found to be of the order of 0.05-0.08 with small dispersion in the visible spectral range. The films exhibit depolarization, which is quantified in terms of the depolarization index and varies from 0.9 in the infrared to 0.25 in the ultraviolet range. The deep understanding of ramie films' polarization properties will pave the way for applications in optical and photonic devices.