The family of two-dimensional transition metal carbides, so called MXenes, has recently found new members with ordered double transition metals M ′ 2 M ′′ C 2 , where M ′ and M ′′ stand for transition metals. Here, using a set of first-principles calculations, we demonstrate that some of the newly added members, oxide M ′ and M ′′ , while the band inversion occurs at the Γ point among the degenerate d x 2 −y 2 /d xy orbitals and a non-degenerate d 3z 2 −r 2 orbital, which is driven by the hybridization of the neighboring orbitals. The phonon dispersion calculations find that the predicted topological insulators are structurally stable. The predicted W-based MXenes with large band gaps might be suitable candidates for many topological applications at room temperature. In addition, we study the electronic structures of thicker ordered double transition metals M Zr, Hf) and find that they are nontrivial topological semimetals. Among the predicted topological insulators and topological semimetals, Mo 2 TiC 2 and Mo 2 Ti 2 C 3 functionalized with mixture of F, O, and OH have already been synthesized, and therefore some of the topological materials proposed here can be experimentally accessed.