Considering the atmospheric extinction and turbulent effects, beam spreading, beam wandering and intensity scintillation of super-continuum laser propagating in atmospheric turbulence are studied by using multi-phase screen simulation method. And the difference of propagation properties between super-continuum laser and monochrome laser is analyzed. The simulation results show that, to super-continuum source, with the increase of turbulence strength or the increase of source coherence, relative beam spreading becomes more serious. As turbulence strength increases, beam wandering becomes more pronounced. And the RMS of beam wandering is insensitive to the variation of source coherent degree. Scintillation index and the dependence of scintillation index on off-axis distance may decline by reducing source coherence. Compared with the monochromatic laser, the relative beam spreading and intensity scintillation of super-continuum laser are less affected by turbulence, while the difference of beam wandering is not obvious. The agreement between results of numerical simulations and the theoretical analysis results of monochromatic laser propagating in atmospheric turbulence illustrated the reliability of the numerical simulation process. This study not only proposes an effective simulation method to obtain the atmospheric propagation characteristics of super-continuum laser, but also provides meaningful reference for the application of super-continuum laser.