Current measuring device and energy storage apparatus

A current measurement device 50 for measuring the current of a power storage element comprises a measurement resistor unit 80 that is positioned on a current path and comprises a resistor 81, a pair of detection points Pa, Pb that are positioned on the current path on both sides of the resistor 81, a current detection unit 160 that comprises a pair of voltage input units 161A, 161B that are connected to the pair of detection points Pa, Pb and detects the current of the power storage element from the voltage difference between the pair of detection points, and a ground connection point Pg that is connected to a common ground GND with the current detection unit 160. The resistance Rga along the current path X to the ground connection point Pg from the detection point Pa from among the pair of detection points Pa, Pb that is closest to the ground connection point Pg is smaller than the value obtained by dividing the input voltage tolerance Vm of the current detection unit 160 by a prescribed current of the power storage element.