External resonator stimulated Raman scattering of SrWO4 crystal excited by pico-second pulses is studied. SrWO4 crystal with high optical quality is prepared by Czochralski pulling method. Its size reaches 22 mm×40 mm,and its weight is 72.3 g. The transmission spectrum of SrWO4 crystal is detected by spectrophotometer,which showes its short-wave limit is 260 nm,and long-wave limit is larger than 3200 nm. It indicates that SrWO4 crystal can realize Raman frequency shifting in a wide wave band. When the exciting source is a 40 ps Nd:YAG mode-locked laser,the total conversion efficiency for multi-wavelengths Raman output reaches 73%,and the largest output energy is 2.58 mJ. The highest conversion efficiency for the first Stocks Raman output of 1180 nm is 38%,and the largest output energy is 1.04 mJ. The conversion efficiency for the second Stocks Raman output of 1324 nm is 19.3%,and the largest output energy is 0.39 mJ. The experimental results show that SrWO4 crystal possesses many advantages such as easy growth,wide transmittion spectrum,large gain coefficient,and high conversion efficiency,which indicate that SrWO4 is a promising solid Raman medium that may have practical applications.