The invention discloses a high-precision fiber bragg grating low-frequency strain sensing demodulation system which comprises a narrow linewidth laser, an electro-optic/ acoustic optical modulator, a radio-frequency signal generator, a narrow linewidth optical fiber filter, a coupler, a circulator, a first fiber bragg grating sensor, a second fiber bragg grating sensor, a photoelectric detector and a strain demodulation module. The narrow linewidth laser provides narrow linewidth laser, the electro-optic/ acoustic optical modulator modulates the narrow linewidth laser, the radio-frequency signal generator generates a chirp signal, the narrow linewidth optical fiber filter filters the modulated laser, and the coupler divides the obtained single-side-band laser capable of being tuned within the predetermined bandwidth into two paths of light sources. The circulator transmits the light reflected by the first fiber bragg grating sensor and the second fiber bragg grating sensor to the detector, the first fiber bragg grating sensor and the second fiber bragg grating sensor respectively receive outside strain and temperature signals, the photoelectric detector performs photovoltaic conversion on the light reflected by the first fiber bragg grating sensor and the second fiber bragg grating sensor, and the strain demodulation module obtains wavelength difference between the first fiber bragg grating sensor and the second fiber bragg grating sensor according to digital signals and obtains strain values of the fiber bragg grating strain sensors.