The invention discloses a 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, an electro-optic phase modulator, a phase modulation signal generator, a coupler, a first fiber bragg grating sensor, a second fiber bragg grating sensor, a photoelectric detector, a data acquisition card and a strain demodulation module. The narrow linewidth laser provides a narrow linewidth laser source for the whole demodulation system, the electro-optic/ acoustic optical modulator modulates the laser source according to a chirp signal generated by the radio-frequency signal generator generating the chirp signal, and the electro-optic phase modulator performs phase modulation on the modulated laser source according to a sinusoidal modulation signal generated by the phase modulation signal generator generating the sinusoidal modulation signal. The coupler divides the laser source subjected to the phase modulation into two paths, the first fiber bragg grating sensor and the second fiber bragg grating sensor generate two paths of fiber bragg grating reflectance spectra under scanning of the two paths of the laser sources, the photoelectric detector performs photovoltaic conversion on the two paths of the fiber bragg grating reflectance spectra, the data acquisition card outputs two paths of optical fiber sensing digital signals, and the strain demodulation module is used for demodulating the two paths of the optical fiber sensing digital signals.