A fiber optic sensor for two-dimensional angular displacement measurement is proposed. Linear light receiving fiber arrays arranged as a crisscross spoke are used in the sensor probe. Light intensity received by each fiber will change due to the measured angular displacement and be recorded by the CCD. Based on the Gaussian distribution theory the reflected light spot center can be determined by fitting a Gaussian curve according to received light intensity and position of each fibers. With this method, measurement errors caused by surface reflection index variation, light power fluctuation, and ambient light disturbance can be effectively avoided. The measured angle range is -0.16 rad～0.16 rad. The difference of optical path loss of each receiving fiber reduces the measurement accuracy of this system. The proposed method based on the correction of optical path loss corresponding to each fiber can effectively improve the angular measurement resolution to 3.8×10-4 rad.