To improve the acquisition sensitivity of the weak and dynamic global navigation satellite systems signal, the fractional Fourier transform (FRFT) is introduced to deal with the acquisition process. The acceleration can be estimated using the FRFT approach, and the gain of coherent integration as well as the detection probability could be significantly improved. Partially matched filter technique is used to compare with FRFT. The digital computation complexity and the mean acquisition time are provided. Theoretical analysis for the detection probability has been proposed, and simulations are conducted to verify the high performance of the technique.