The authors discussed the possibility of studying crust anisotropy by analyzing azimuthally variation of the receiver functions and presented a technique for computing the transmission response of a flat-layered medium with arbitrarily oriented hexagonally symmetric anisotropy using the reflectivity algorithm. Using this method, the authors investigated the crust anisotropy of Taihang Mountain Range (TMR). The result shows that there is significant anisotropy with a slow symmetry axis in upper crust and a fast symmetry axis in lower crust. The anisotropy magnitude of about 8%~15% is found in the upper crust and a smaller magnitude of about 3%~5% in the lower crust.