We demonstrate the ultrafast graphene oxide mode-locked Er-doped fiber lasers. The lasers can operate in all anomalous dispersion regime and normal dispersion regime respectively through the cavity design. When the laser operates in the all anomalous dispersion regime, the traditional soliton pulse trains at repetition rate of 61 MHz are generated. The measured pulse width is 500 fs, spectral width is 5.7 nm, and the maximum output power is 6 mW, corresponding to single pulse energy of 0.1 nJ. In the normal dispersion regime, dissipative soliton pulse trains at repetition rate of 11.5 MHz are generated. The pulse width is 143 ps, spectral width is 2.4 nm, and the maximum output power is 21 mW, corresponding to single pulse energy of 1.8 nJ.