The optical design method for the wide-band fiber Raman amplifier（FRA） based on photonic crystal fiber（PCF） is presented in this paper. Power coupled equations for a multi-wavelength broadband Raman amplifier are reasonably simplified, so a simple object function is proposed. Meanwhile a new algorithm called genetic and simulated annealing algorithm is proposed through improving on the conventional algorithm, which is more advantageous than using the genetic algorithm or simulated annealing algorithm respectively. Two FRAs are designed using two pumps and four pumps in this paper. The simulative results verify that PCF is perfect choice of a small-sized and efficient discrete FRA.