Two honeycomb structures of BSi with two-atom thickness are predicted. Phonon spectra show that both structures are thermodynamically stable. C2-type BSi is a very promising candidate for photoelectric applications. C2-type BSi has a good absorption of photons in the range of 1.5–2.5 eV. Thermal conductivity of P1-type BSi is around 6 times higher than that of C2-type.