In this paper, based on the 291 P-wave data of 83 local earthquakes recorded from the 12 digital stations of the Telemetered Seismic Network of Lanzhou, the crustal Q_p values in and around the eastern area of Gansu Province are obtained, ranging from 170 to 1300. by using the spectrum method in frequency domain. The results show that small and moderately strong earthquakes centered in the low Q_p region. but the seismicity was keeping the lowest active level in the high Q_p region:the large destructive earthquakes (M ≥ 6) occurred on the boundary between the low Q_p and high Q_p region. Finally, it analyses the Q_p-value distribution by using the combination model, and gives a hazard estimation of potential earthquake in this area.