The non-fullerene electron acceptors with broad tunability in molecular structures, light absorption and energy levels used in organic solar cells have been rapidly developed in recent years. P3HT, a representative electron donor in the second-generation organic semiconductor material, has been widely studied for bulk heterojunction organic solar cells(BHJ OSCs). P3HT is a classic electron donor material with low price, good crystallinity and excellent electron mobility. Herein, the progress of P3HT/non-fullerene BHJ OSC in recent years is reviewed. The requirements for the molecular design of non-fullerene acceptors for P3HT are discussed. The key factors for the performance improvement of P3HT/non-fullerene BHJ OSC have also been reviewed. Finally, we prospect the remaining challenges and promising future directions for the P3HT/non-fullerene BHJ OSCs.