A boost direct current-to-direct current (DC-DC) converter using a delta-sigma modulator (DSM), the boost DC-DC converter may comprise a boost driving circuit outputting an output voltage to output terminals by boosting an input voltage, a resistance distribution circuit outputting a feedback voltage by distributing the output voltage of the boost driving circuit, a compensator outputting a compensated feedback voltage by compensating for the feedback voltage outputted by the resistance distribution circuit based on a reference voltage, a delta-sigma modulator outputting a digital signal by modulating the compensated feedback voltage and a duty controller outputting a duty control signal for controlling a switching duty of the boost driving circuit by receiving the output of the delta-sigma modulator.