This study mainly focused on the fabrication of the photonic-crystal surface-emitting lasers on the gallium antimonide (GaSb) substrates. The optically pumped surface-emitting laser was achieved by fabrication of photonic-crystals with five different periods on the top of the sample surface. The corresponding resonance wavelengths, as well as the dependence on the photonic crystal periods and the threshold power are discussed. Effects of different etching depths on the emission wavelength, threshold power, and mode shifting were investigated for the lasers with the five different photonic-crystal periods. By measuring the energy band structure, we were able to confirm the photonic crystal mode was on the edge of the energy band at the Γ point. An attempt to electrically pumping the photonic-crystal surface-emitting laser was not successful. The possible causes and future work were also discussed in this thesis.