Abstract: An electrical current sensing circuit of the present invention comprises a Wheatstone bridge circuit having at least four magnetoresistive elements connecting and a pair of output terminals, the magnetoresistive elements adapted for sensing an external magnetic field with a first direction generated by a carrying-current electrical conductor, and outputting a differential signal; and a negative feedback circuit connecting with the output terminals, actuated by the differential signal and generated a magnetic field with a second direction that is opposite to the first direction, thereby decreasing the impact of the temperature drift to the magnetoresistive element character. The present invention can eliminate the temperature drift under a changing environment and, in turn obtain an accurate output voltage.