The conventional 12-pulse rectifier causes a lot of harmonic pollution in the grid. To improve the power quality of both AC and DC sides of the rectifier, a 24-pulse rectifier with hybrid harmonic suppression circuit (HHSC) on the DC side is proposed. The proposed rectifier consists of a conventional 12-pulse rectifier, an active-tapped inter-phase reactor (AT-IPR) and a compensation circuit (CC). The output side of the TIPC is connected in series with the load to directly modulate the output current and output voltage of the rectifier bridge; the CC is connected in parallel with the load to indirectly modulate the output current of the rectifier bridge, and then according to the current relationship between the AC and DC sides and the voltage relationship on the DC side, the input line current of rectifier is close to the sinusoidal current and output voltage is doubled from 12 to 24 pulses. This method only needs a small-capacity HHSC (only 2.65% of output power) to reduce input line current harmonics and output voltage ripple effectively, and it has the advantages of high harmonic suppression performance and low harmonic suppression cost. The simulation model of the rectifier system is built in Matlab/Simulink to verify the correctness and effectiveness of the proposed method. This work is supported by the National Natural Science Foundation of China (No. 51767013 and No. 52067013).