A high-power all-fiber mid-infrared (mid-IR) supercontinuum (SC) generation in a single-mode ZBLAN fiber pumped by amplified noise-like pulses is reported. The mid-IR SC system is a 2 μm master oscillator power amplifier (MOPA) construction including a seed source and two-stage single-mode thulium-doped fiber amplifier (TDFA) followed by a single-mode ZBLAN fiber. A noise-like pulse fiber oscillator with wavepacket width of 1.4 ns and repetition rate of 3.36 MHz at 1966 nm is used as a seed source of mid-IR SC system. In the last stage TDFA, a SC covering from 1.9 to 2.4 μm with maximum output power of 28.5 W is generated. Then, the output SC of TDFA is injected into a 10 m single-mode ZBLAN fiber for further spectrum broadening. At last, a mid-IR SC covering from 1.9 to 3.62 μm with the maximum output power of 14.3 W is generated.