The invention discloses an RC relaxation oscillator of a comparator offset, and is used for solving the technical problems that the stabilities of the frequency and the duty ratio of the prior RC relaxation oscillator are bad. The RC relaxation oscillator provided by the technical scheme comprises a reference voltage generating circuit, a capacitor charging-discharging circuit, a comparator and an inverter chain. A charge pump is used to generating two periodic triangular wave signals, the phase difference of which is 180 degrees; and, the comparator compares two triangular wave signals to generate a clock signal. Since the peak-to-peak value of the triangular wave signals is determined by a fixed reference voltage and is irrelevant to the offset voltage of the comparator, the charging or discharging time of the capacitor remains unchanged at each working state, so that the frequency of the oscillator is not changed. Due to the comparator offset, the frequency and the duty ratio of the oscillator are not affected by the offset voltage of the comparator; and, the stabilities of the frequency and the duty ratio are good. And moreover, only one comparator is used, so that the amount of the comparators is reduced by half.