We investigate the role of the black-phosphorus-based n-p (BP-np) junction modulated by linearly polarized light (LPL) in governing the quantum transport behaviors. Following the analysis of the band structures, we find that the LPL can adjust the gap between the conduction and valence bands by reducing the impact of momentum mismatch caused by the band gap. In addition, LPL can also eliminate the angle dependence of transmission. This means that for BP with a fixed band gap, the transmission-forbidden region can be reduced and the transmission probability can be increased by applying LPL modulation of the band gap to achieve all-angle perfect transmission, i.e., super-Klein tunneling (SKT). Our investigation also found that the SKT is robust to different incident energies, resulting in a larger conductance platform. These findings could be useful for the development and application of optical-like electronic devices.