Seed pulse amplification with a chirped pump laser pulse via Raman backward scattering is investigated through numerical simulations. The optimal dimensionless chirp value for selected parameters in this article is in the range 10−5 ≤|∝/ω2p|≤4×10−5. Also, the effect of the polarization of the pump and seed pulses is investigated. Numerical results showed that circular polarization has comparative advantage. The enhancement factor for circular polarization in the optimum chirp has increased to 6% compared with linear polarization.