Based on first-principles calculations, the electronic structure, the transport and optical properties of TiOCl₂ monolayer are systematically investigated. The vibrational, thermodynamic, and mechanical properties of TiOCl₂ monolayer are studied by phonon spectrum, molecular dynamics and elastic constants calculations. All these results indicate that the TiOCl₂ monolayer possesses good structural stability at room temperature and excellent mechanical properties. The electronic structure analysis shows that the TiOCl₂ is an indirect band gap (1.92 eV) semiconductor. Its band structure can be significantly affected by in-plane stress. Specifically, the TiOCl₂ monolayer undergoes an indirect-to-direct band gap transition under –4% uniaxial stress along the a-axis and the gap size decreases to 1.66 eV. Moreover, the TiOCl₂ monolayer exhibits obvious anisotropy characteristics, and its electron mobility is 803 cm²·V^–1·s^–1 along the b-axis, whereas the hole mobility reaches 2537 cm²·V^–1·s^–1 along the a-axis. The wave peaks (valleys) of the absorptivity, reflectivity and transmittance shift toward the violet part of the visible band by the stress. All these appealing properties make the TiOCl₂ monolayer a promising candidate for applications in optoelectronic devices.