We statistically investigate the influence of the solar wind dynamic pressure (SW P_dyn) on the field-aligned currents (FACs) in the magnetotail with 1,492 FAC cases from July to October in 2001 and 2004, which covers 74 Cluster crossings of the plasma sheet boundary layer (PSBL) in both storm time and non-storm time. The FAC density in the magnetotail is derived from the magnetic field data with the four-point measurement of Cluster, and the SW P_dyn is taken from ACE data. The results indicate the FAC density becomes stronger with increasing SW P_dyn. The statistics show that the FAC occurrence increased monotonically with SW P_dyn in the three levels (Weak: SW P_dyn < 2 nPa; Medium: 2 nPa ≤ SW P_dyn ≤ 5 nPa; Strong: SW P_dyn > 5 nPa). The FAC density increased with increasing SW P_dyn, while its footprint (invariant latitude, ILAT) in the polar region decreased with increasing SW P_dyn. The response of the FAC to SW P_dyn in the magnetotail had a north-south hemispheric asymmetry. The FAC density had a better correlation with SW P_dyn in the Northern hemisphere, while the footprint had a better correlation with SW P_dyn in the Southern hemisphere. Possible underlying mechanisms for our results are analyzed and discussed. However, it requires more observations and simulation studies to find out the mechanism of north-south asymmetry.