A high-power 2.0 μm thulium-doped ultrafast all-fiber master oscillator power amplifier (MOPA) is developed. The seed source is a thulium-doped double-clad single-mode fiber laser passively mode-locked by a semiconductor saturable absorber mirror (SESAM). It produces about 15 mW average output power with 10.4 MHz repetition rate. A thulium-doped all-fiber amplifier is used to boost average output power to 1.1 W, corresponding to the single pulse energy of 105 nJ. The pulse width is measured to be 9 ps, the center wavelength and the spectral bandwidth are 1963 nm and 0.5 nm respectively. To the best of our knowledge, this is the first report for all-fiber thulium-doped ultrafast fiber laser with watts-level average output power.