In order to study the beam cleanup effect of the stimulated Raman scattering (SRS) in the graded-index multi-mode fiber (GIMF), a continuous wave all-fiber laser at 1117.8 nm and a pulsed fiber amplifier at 1064 nm are built up as the seed and pump source in the Raman fiber amplifier (RFA). In unseeded SRS process, a pump beam with M.2x = 6.7 and M.2y = 6.7 is transferred into a Stokes beam with M.2x = 1.5 and M.2y = 1.7 in the multi-mode fiber with a 62.5 μm graded-index core (numerical aperture =0.29). In the RFA, a seed light with M.2x = 6.7 and M.2y = 7.3 is amplified to a signal light with M.2x = 1.8 and M.2y = 2.0. The experimental results are explained by the simulation on the mode evolution during SRS procession and Raman amplifica-tion in the GIMF. The results show that both the SRS and Raman amplification effect in the GIMF have beam cleanup effect.