Abstract: To study the stimulated Brillouin scattering (SBS) and stimulated Raman scattering in inertial confinement fusion (ICF) hohlraum excited by multi-color incoherent light, in this paper a one-dimensional steady-state model is introduced and implemented by a numerical program. The physical pictures in which the stimulated scattering excited by individual lightrays can be coupled through sharing electrostatic wave and the physical factors affecting the spectrum of backward scattered light are analyzed. The simulation of SBS in a golden cylinderical hohlraum excited by two-color light with wavelength separation 0.3\;\mathrmn\mathrmm shows that: SBS can be effectively suppressed by the two-color light, the spectrum of SBS splits into two peaks with separation of 0.3 nm, the SBS light corresponding to incident light of longer wavelength gets higher gain, and if the total intensity and bandwidth of lasers are both fixed, there exists a best number of beamlets to suppress SBS.