The electrochemical performances of an asymmetric hybrid capacitor were investigated using LiFePO4 as the positive electrode and active carbon fibers(ACF) as the negative electrode. The electrochemical behaviors of a nonaqueous hybrid capacitor were characterized by constant current charge/discharge test. The specific capacitance using LiFePO4/ACF electrode turned out to be 0.87F/cm2 and the unit cell showed excellent cycling performance. This hybrid capacitor was able to deliver a specific energy as high as 178 Wh/kg at a specific power of 1,068 W/kg.