Shear wave birefringence is a direct diagnostic of seismic anisotropy. It is often used to infer the northern limit of the underthrusting Indian lithosphere, based on the seismic anisotropy contrast between the Indian and Eurasian plates. Most studies have been made through several near north–south trending passive-source seismic experiments in southern Tibet. To investigate the geometry and the nature of the underthrusting Indian lithosphere, an east–west trending seismic array consisting of 48 seismographs was operated in the central Lhasa block from September 2009 to November 2010. Splitting of SKS waves was measured and verified with different methods. Along the profile, the direction of fast wave polarization is about 60° in average with small fluctuations. The delay time generally increases from east to west between 0.2 s and 1.0 s, and its variation correlates spatially with north–south oriented rifts in southern Tibet. The SKS wave arrives 1.0–2.0 s later at stations in the eastern part of the profile than in the west. The source of the anisotropy, estimated by non-overlapped parts of the Fresnel zones at stations with different splitting parameters, is concentrated above ca. 195 km depth. All the first-order features suggest that the geometry of the underthrusting Indian lithospheric slab in the Himalayan–Tibetan collision zone beneath southern Tibet is characterized by systematic lateral variations. A slab tearing and/or breakoff model of Indian lithosphere with different subduction angles is likely a good candidate to explain the observations.