We optimize the novel configuration of a hybrid fiber amplifier-Raman assisted-fiber-based optical parametric amplifier (R-FOPA), in which the parametric gain and Raman gain profiles are combined to achieve a flat composite gain profile. The pump powers and the fiber length in the hybrid amplifier are effectively optimized by genetic algorithm (GA) scheme. The optimization results indicate that the R-FOPA can achieve a 200-nm flat bandwidth spectrum with the gain of 20 dB and ripple of less than 4 dB.