Quantum steering is an important quantum resource, which plays an important role in quantum information processing, quantum secure communication, quantum key distribution and other aspects. Compared with other kinds of quantum entanglements, quantum steering has the advantage of natural asymmetry, which can realize one-side device-independent quantum tasks. Quantum steering can be generated by beam splitter network, nonlinear process, optical frequency comb system and optomechanical system. In this paper, we consider incident single pump light into an optomechanical cavity containing a moving cavity mirror under special conditions, which is the frequency of the mechanical oscillator equal to half of the free spectral region of the cavity. Under the action of the radiation pressure of the light field, the mechanical mode can be coupled with the two cavity modes in the cavity, thus producing tripartite entanglement. We study the quantum steering properties of the entanglement region. The results show that the steering of mechanical mode to two optical modes is stronger than that of optical mode to mechanical mode, and the mechanical mode to optical mode steering is more robust to temperature, and the conversion between one-way steering and two-way steering between mechanical and optical modes can be realized by adjusting the detuning and the temperature. Because of the symmetry of the two optical modes, the exchange invariance of the two optical modes is obtained. The steering of mechanical mode and optical mode to single optical modes is stronger than the one-way steering of optical mode to optical mode. The combined steering of two optical modes to mechanical mode is greater than the sum of the steering of the single optical mode to mechanical mode. This research is valuable for realizing more secure quantum communication and constructing quantum networks composed of systems with different frequencies.