There is a problem that the instantaneous power imbalance between the input and output of the single-phase cascaded H-bridge rectifier (cascaded H-bridge rectifier, CHBR) causes the DC side voltage to contain double frequency ripple, causing low-order harmonic pollution of the grid-side. Therefore a hybrid control strategy embedding an N times notch filter is proposed. First, using the CHBR mathematical model and double closed-loop control strategy, the mechanism of generation of CHBR grid side current harmonics is analyzed and its harmonic distribution rules are deduced. Second, based on the feedforward decoupling control in the dq rotating coordinate system, the idea of transient direct current control is introduced. Then the suppression effect of the N times notch filter on the grid-side current harmonics is theoretically analyzed, and N times notch filter parameter design and discrete method are given. Then the design method of N times notch filter embedded in current inner loop control is discussed in detail. This method effectively suppresses the 3rd, 5th, 7th and other low-order harmonics of the grid-side current, reducing the load of the PI controller. Finally, the experimental results show that the proposed control strategy has smaller voltage overshoot and shorter dynamic response time, and significantly reduces the grid-side current distortion rate.