A new spectroscopic methodology is proposed to measure optical rotatory dispersion (ORD) of optically active media. ORD is obtained from a three-step phase shifting algorithm using transmission spectra taken at three independent probing angles. Optical rotation angles of four sugar solutions are investigated. The results obtained by using the new method show excellent agreement with the reference data, indicating the new method can be used as a reliable way for studying ORD of optically active media.