A bidirectional hybrid mode-locking erbium-doped fiber laser is constructed. The reflective semiconductor saturable absorber mirror and the nonlinear polarization rotation effect are employed as hybrid mode-locking mechanism in the σ-shaped cavity without isolation device. The stable self-starting bidirectional mode-locking operation is achieved by finely adjusting the laser spot size focused on the semiconductor saturable absorber mirror and the angle of intracavity wave plates. The laser operates in soliton mode-locking state, and the two counter circulating pulses are output by two polarization beam splitters, respectively. The repetition rates of two pulse trains are both 60.72 MHz. The output powers of counter clockwise light and clockwise light are 23.7 mW and 1.3 mW, and their signal to noise ratios are 67.5 dB and 66.5 dB, respectively. The difference between counter clockwise and clockwise output powers is large, which is caused by the mode-locking mechanism.