Yb-doped fiber lasers (YDFL) have been one of the most widely studied project in last 10 years due to its capability in high power output with excellent beam quality. The optical properties of Yb3+ ions in silica glass allow lasing over wide spectral range from 0.98 to 1.2 μm. Up to now, most of the researches focus on YDFL lasing at 1.06-1.12μm, which is most common wavelength band. Actually YFDL operates at other special wavelength bands (i.e., 1.17μm or 1.02μm) are widely required in many application fields. In this paper, we will reports the recent research results of high power YDFL operates at special wavelength. By using Yb3+-doped double-clad silicate fiber as the gain medium and commercial pigtailed laser diode as the pump source, we have demonstrated (1) an allfiberizied YDFL operates at 1.12μm, a record output power of 178 W is obtained, the power is further boosted to be 309 W by using one stage of fiber amplifier (2) an all-fiberizied YDFL operates at 1.173 μm, a record output power of 15.7 W is obtained when the pump power is 28 W. (3) an all-fiberizied YDFL operates at 1.018 μm, a record output power of 309 W is obtained when the pump power is 435 W.