Leaks in a roof membrane are detected by applying a grid of electrically conductive shielding elements on the upper surface separating the membrane into a plurality of zones and generating a potential difference between the elements and a conductive component such as the roof deck or a layer at the deck. In each zone a respective one of a plurality of sensor conductors is mounted separate from the shielding elements and an electrical potential difference is applied between the sensor and the conductive component such that, in the presence of a leak located within the zone, current flows between the sensor conductor and the conductive component through moisture at the leak for detection of the current or resistance indicative of a leak.