The graphene-like BC3 monolayer has been experimentally prepared. In this paper, based on this BC3 monolayer, we built its armchair and zigzag photodetectors and studied linear and elliptical photogalvanic effects (PGEs) in these devices. It was found that produced photocurrents in the armchair and zigzag BC3 photodetectors mainly show cosine and sine relations on double times of linear or elliptical polarized angle, respectively. Moreover, since the decreasing of symmetry from D6H to C2v or Cs at the vacancy- and substitution-doping situations, the photocurrents in the armchair and zigzag BC3 photodetectors increased about 10–100 times, and the photocurrents even may be detected in experiments. Furthermore, the armchair and zigzag BC3 photodetectors are all polarization-sensitive for their high extinction ratios. In view of that the BC3 monolayer has been prepared, our work manifested great potential applications of the PGE-driven BC3 photodetectors in high performance and low energy-consumption optoelectronic and nanoelectronic devices.