Using polarization-maintaining all-fiber ring resonator as the transfer cavity, a frequency stability transfer from 1550 nm reference laser to 1572 nm slave laser is realized in this work. The influence of temperature on the long-term stability of the fiber resonator is studied. Theoretical and experimental results show that the frequency stability transfer could not be realized well only by tuning the cavity length of piezoelectric ceramic resonator. Therefore, it is proposed to realize the stability transfer of the ring resonator by using piezoelectric ceramic fast feedback and temperature control. The Allan variance of the frequency stability of the slave laser is 2×10 -12 when the integration time is 1 s and 5×10 -12 when the integration time is 1000 s.