In recent years, intrinsic 2D magnetism has aroused great interest because of its potential application in spintronic devices. However, low Curie temperature (T c) and magnetic anisotropy energy (MAE) limit its application prospects. Here, using first-principles calculations based on density-functional theory, a series of stable MnXSe 4 (X=As, Sb) single-layer is predicted. The MAE of single-layer MnAsSe 4 and MnSbSe 4 is 648.76 and 808.95 eV per Mn atom, respectively. Monte Carlo simulations suggest the T c of single-layer MnAsSe 4 and MnSbSe 4 is 174 and 250 K, respectively. The energy band calculation with hybrid Heyd-Scuseria-Ernzerhof (HSE06) function indicates the MnXSe 4 (X = As, Sb) is ferromagnetic half-metallic. Also, it has 100% spin-polarization ratio at the Fermi level. For MnAsSe 4 and MnSbSe 4 , the spin-gaps are 1.59 and 1.48 eV, respectively. These excellent magnetic properties render MnXSe 4 (X = As, Sb) as promising candidate materials for 2D spintronic applications.