A battery system of a vehicle is provided and includes a battery module assembly (BMA) formed by overlapping a plurality of battery modules along a first direction, a cooling fan installed to be aligned along the first direction on one side of the BMA and configured to discharge air cooling the BMA while passing therethrough, a low voltage battery installed to be aligned along the first direction on the other side of the BMA, a power relay assembly (PRA) aligned along a second direction perpendicular to the first direction and installed adjacent to the low voltage battery, and a battery management system (BMS) aligned along a third direction perpendicular to the first direction and the second direction and installed adjacent to the low voltage battery and the PRA.