High stability mode-locked fiber laser whose key is to obtain a stable mode-locked pulse output has broad applications in the optical frequency comb, micro-processing and other fields. In this paper, chirped fiber Bragg grating, as the spectral filter and the dispersion control element, has been used to control the spectral shape and chromatic dispersion of the Yb-doped fiber laser. The mode-locked polarization maintaining fiber laser was obtained by semiconductor saturated absorption mirror. The maximum output power of laser was 9.8 mW by the pump power of 52 mW. The fundamental repetition rate was 15.7 MHz. The center wavelength and the spectral bandwidth were 1 030 nm and 7.2 nm, respectively. The pulse width was measured to be 4.26 ps, corresponding ideal Fourier transform limit pulse width is about 150 fs.