Design of two-dimensional (2D) ferromagnetic materials with room-temperature magnetism is basic cornerstone for developing nanoscale spintronics. However, the experimental realized room-temperature ferromagnets are very limited and the design of room-temperature ferromagnets based on non-magnetic materials is rarely reported. Motivated by recently synthesized Janus MoSSe monolayer, we have predicted that Janus TiXY (X=S, Se and Te; Y=H and F) monolayers are intrinsic 2D ferromagnetic materials with above room-temperature long-range spin ordering and diverse electronic structures based on systematically first-principles calculations. The six Janus TiXY monolayers tend to adopt T-phase symmetry. The dynamically and thermally stability of lattice are confirmed by phonon spectrum calculations and molecular dynamics simulations. Band structure calculations at HSE06 functional level demonstrate that the monolayer TiTeH and TiTeF are bipolar ferromagnetic semiconductors (BMS) with bandgap of 0.18 and 0.48 eV, respectively. Further, the spin direction-controlled band crossing to band gaped transition and tunable spin splitting at Γ-point are observed in TiTeH monolayer after flipping the spin orientation along from out-of-plane to in-plane direction owing to giant magneto band-structure effect. The TiSH, TiSeH, TeSF, and TiSeF monolayers are half-metallic ferromagnets (HMF) with a large spin gap of 2.67, 1.73, 3.11, and 2.27 eV, respectively. Especially, the estimated Curie temperature (T_c) of TiXH and TiXF based on Monte Carlo simulations are range from 339~401 K and 341~497 K, respectively, which are higher than room-temperature. Similar to bilayer CrI₃, we also find a stacking configuration dependent interlayer magnetic coupling ground state in bilayer TiSF. Moreover, taking TiSH and TiSF as prototypes, the intrinsic electronic properties can be maintained after the formation of heterojunctions by applying a protective coating graphene layer. The intrinsic room-temperature ferromagnetism together with diverse electronic structures, making the Janus TiXY monolayer a promising candidate for realistic spintronic applications. Further, constructing Janus monolayers based on nonmagnetic materials opens up new pathway for designing novel 2D ferromagnets.