The observed .data used in this paper .are five deep and teleseismic P waveforms recorded by short period seismograph at the Hetian seismic station. Based on comparing the synthetic ones waveforms with the observed, the deep crust structure of the southwestern edge of the Tarim basin and of the. northern part of the Kunlun mountains is discussed. Results show that beneath about 30 km are higher velocity layer. The crustal depth is about 53 km. Since the transmission seismic beams came from different directions, the calculation indicates small differences of velocity structure and lateral variance.