An electronic-fuse (e-fuse) circuit includes: an e-fuse array; a control switch, coupled to the e-fuse array, for controlling whether a voltage supply is applied to the e-fuse array in programming; and a close loop feedback circuit, coupled to the control switch and the e-fuse array, for clamping at lease one node voltage of the e-fuse array to a reference voltage, and for controlling the control switch to control a blowing current in programming the e-fuse array.