The gain of the new type Double-pass Discrete Fiber Raman Amplifier (D-DFRA) is calculated under the backward pumping scheme. The experimental measurement for gain performance, noise figure and Stimulated Brillouin Scattering (SBS) are conducted in the case of double-pass pumping. The experiment results are fairly consistent with the calculated results. This study demonstrates that the gain and pump efficiency can be improved significantly by using the double-pass configuration, the pump light reflector with the pump power keeping unchanged and the noise performance keeping fairly good. The upper limit of the gain is determined by the threshold of the SBS of the system. The maximum gain can be raised in the case of double-pass pumping.