Provided a pre-chirped management based low-noise fiber femtosecond laser amplifier. The amplifier comprises an ytterbium-doped fiber dispersion management mode-locked laser (1), a spectral interference filter (2), a grating negative dispersive delay line (3), an ytterbium-doped fiber amplifier (4), and a grating pulse compressor (5). The ytterbium-doped fiber dispersion management mode-locked laser (1) generates a breathing soliton pulse sequence; the spectral interference filter (2) adjusts a center wavelength of the breathing soliton pulse sequence and enables it in the gain spectrum center of the ytterbium-doped fiber amplifier (4); the grating negative dispersive delay line (3) introduces a negative chirp into the adjusted breathing soliton pulse sequence, thereby obtaining a seed pulse; the ytterbium-doped fiber amplifier carries out self-similar amplification on the seed pulse, thereby obtaining a parabolic pulse; and the grating pulse compressor (5) compresses the parabolic pulse and generates a femtosecond laser pulse. According to the high-frequency noise of a linear amplifier effectively inhibited by the pre-chirped management based low-noise fiber femtosecond laser amplifier disclosed by the present invention, a Fourier transform-limited femtosecond laser pulse with a narrow pulse width is obtained.