Two-dimensional (2D) transition metal oxyhalides have garnered significant interest due to their unique physical properties and promising potential applications. By using density functional theory and the non-equilibrium Green's function method, the anisotropic mechanical, electronic, optical, and transport properties of the Janus TiOXY (X, Y = Cl, Br, I
X ≠ Y) monolayers are systematically investigated. The proposed Janus TiOClBr, TiOBrI, and TiOClI monolayers exhibit favorable thermodynamic, dynamic, and mechanical stabilities, respectively. The Young's modulus of the Janus TiOClBr, TiOBrI, and TiOClI monolayers is 43.19-75.40 N m