An eFuse (electronic fuse) circuit has a first detector for determining whether an ESD (electrostatic discharge) event occurs at a circuit pad of an integrated circuit and provides an ESD trigger signal in response thereto. A second detector detects a presence of a first power supply voltage and provides a power on signal indicating the presence of the first power supply voltage. A fuse is permitted to be programmable when no detection of the ESD event occurs and at the same time a presence of the power on signal is detected. The fuse is not permitted to be programmed when an ESD event is detected or when there is an absence of the power on signal. An array of fuses is thereby protected from inadvertent programming from an ESD event or powering up an integrated circuit.