A simple tunable multi-wavelength Raman fiber laser with output wavelength near 1.7 μm band is proposed and experimentally demonstrated. In this scheme, a 1550 nm band amplified spontaneous emission is used as the pump source and avoid stimulated Brillouin scattering. The dispersion shifted fiber and high nonlinear optical fiber are used as nonlinear gain to obtain the gain spectrum with peak wavelength near the 1.7 μm band, and an unpumped erbium-doped fiber is used to absorb the remaining pump light in the gain spectrum. The gain spectrum is filtered by a Sagnac loop filter. We demonstrate the tuning capacities of single-wavelength over 33.4 nm between 1652.77 nm and 1686.20 nm by adjusting the polarization controller and tunable filter on the back end of the amplified spontaneous emission. The 3 dB effective linewidth of single-wavelength laser is 0.08 nm. And by increasing the pump power and adjusting the Sagnac loop filter to achieve multi-wavelength laser output, the dual-wavelength laser can be continuously tuned between 1654.88 nm to 1664.60 nm. The side mode suppression ratios of single-wavelength and dual-wavelength lasers are greater than 45 dB.