Recent reports have proposed battery-like materials as the relevant bridal material between pseudocapacitors and battery materials. Such electrode materials have been widely used as electrodes in hybrid supercapacitors. From this perspective, graphene-supported 3D BiOBr hierarchical microspheres electrode materials were developed for hybrid supercapacitors in 6 M KOH electrolyte. The 2D/3D of graphene/BiOBr achieves the maximum specific capacity of 435.1 C/g at a current density of 0.5 A/g. It was found that the coulombic efficiency of the electrode was 98.6% after 1000 cycles. Using these electrodes, we have successfully fabricated an asymmetric supercapacitor device similar to a hybrid battery, which has a significant energy density of 32.5 Wh/kg at 8700 W/kg and 124.8 F/g at 0.5 A/g. Excellent capacitance, with remarkable cycle stability and a retention rate of 95.3% after 2000 cycles at 8 A/g. Due to the well-designed electrode materials, battery-like supercapacitors exhibit excellent electrochemical performance and are a source of inspiration for other energy storage devices.