Searching for room-temperature ferromagnetic (FM) half-metal materials is crucial for spintronics applications. Here, we find that the (C, Mn) co-doped orthorhombic ZnO (termed (C, Mn) @Orth-ZnO) is a room-temperature FM half-metal with a magnetic moment of 3μB per Mn atom. A detailed investigation of the electronic structure of (C, Mn) @Orth-ZnO system demonstrates that the FM interaction originates mainly from the p-d exchange hybridization between the C2p and Mn3d states. Moreover, nonmetal C's induced extended spin-polarized states can mediate the long-range FM exchange interactions beyond the nearest-neighboring situation. The Curie temperature TC of (C, Mn) @Orth-ZnO system is 371K based on mean-field approximation. The (C, Mn) @Orth-ZnO system also has a large magnetic anisotropy energy (MAE) of 0.63 meV, which is mainly attributed by (dyz, dz2) orbitals of the Mn atom. Finally, we discuss the influence of carrier concentrations and external strains on the stability of the ferromagnetism of the (C, Mn) @Orth-ZnO system. The above results highlight the application prospect of (C, Mn) @Orth-ZnO in the practical spintronic nano-devices.