Femtosecond optical frequency comb is used as an optical frequency div ider for transmitting the optical frequency to microwave frequency,which is wid ely used in time-frequency and Metrology fields. Erbium doped fiber femtosecond optical frequency comb is favored by scientists because of its good frequency st ability,robustness and portability.In this experiment,we use an Erbium fiber optical frequency comb. And more researches were explored on the frequency stabi lization systems for the carrier envelope phase-shift frequency and the comb to o th frequency.This paper reports the locking of the carrier envelope phase shift frequency and comb tooth frequency of the erbium-doped fiber femtosecond optic a l frequency comb.By controlling the intracavity dispersion method,the feedback pump driving current method is used to achieve the carrier envelope phase shift frequency locking,using control the optical cavity length method realizes the frequency lock of the comb frequency by feeding back the EOM and PZT driving vol tage.The experimental results show that the carrier envelope phase-shift frequ e ncy stability is 2.3×10－16 @ 1s and the comb tooth frequency stability is 3.5×10－17 @ 1s,and the carrier envelope phase-shift frequency and com b tooth frequency can be locked for 37hours continuously and stably.