Research of the first-order Raman fiber laser pumped by a continuous wave (CW) fiber laser is presented using domestic Bragg gratings with corning SMF-28TM silica fiber as the gain material. Formation process of Raman laser is studied and output characteristics are measured. Laser output is centered at 1116 nm with 3-dB bandwidth of 0.18 nm. Pump threshold is estimated, which is in good agreement with the experimental value by revising the equation in some references. Techniques for decreasing threshold power and increasing output power are also analyzed.