Using first-principles calculations, this paper predicts van der Waals monolayered transition-metal monohalides MX (M=Zr, Mo; X = F, Cl) as a class of 2D superconductors with remarkable transition temperatures (5.9–12.4 K). Anisotropic Migdal-Eliashberg theory reveals superconducting gap characteristics. The Z₂ band topology is demonstrated, identifying MoF and MoCl as topological superconductivity candidates. Dirac phonons contribute to edge states, potentially enhancing electron-phonon coupling. The findings suggest 2D MX as a platform for exploring the interplay between superconductivity and topology.