A 1653 nm Raman fiber amplifier with a narrow line-width output, which adopts the all-fiber configuration is reported. The Raman seeder is a distributed feed back (DFB) diode laser with 8 mW output power and 2 MHz linewidth. The pump source is a 1541 nm Er-doped fiber laser. The Raman gain fiber is 500-m long nonlinear fiber (HNLF). When the pump power is 3.32 W, the output power of the Raman fiber amplifier is 260 mW, corresponding to 15.1 dB gain and 12% slope efficiency. Since the central wavelength of this laser is located at one strong absorption peak of methane molecular, it can be used in many fields, such as the atmosphere monitor and natural gas leak detection system.