Abstract: A system for measuring partial discharges comprises a plurality of acquisition circuits each including a signal shaping circuit delivering a signal value, a multiplexer enabling the signal values provided by the various acquisition circuits to be delivered in succession on a common path, an acquisition trigger circuit responding to the existence of an acquisition command signal provided when the input level of at least one of the acquisition circuits exceeds a defined threshold and defining an acquisition command signal, and a signal treatment and storage system responding to the acquisition command signal and then performing an acquisition cycle during which it stores the values of the signals provided by the various acquisition circuits via the multiplexer.