The electronic and magnetic properties of pristine CrPSe 3 and mixed Cr 1-x M x PSe 3 (M = Zn, Cd, Hg) monolayers are studied using density functional theory including an on-site Coulomb term (density functional theory (DFT) +U) and tight-binding approach. While pristine CrPSe 3 monolayer has an antiferromagnetic ground state, its alloying with MPSe 3 may give rise to half-metallic ferromagnet with high Curie temperature. The resulting monolayers demonstrate single-spin Dirac cones of mainly Cr-d character located in the first Brillouin zone directly at the Fermi energy. The calculated Fermi velocities of Dirac fermions indicate very high mobility in mixed Cr 1-x M x PSe 3 monolayers, that makes this material appealing for low-dimensional spintronics applications. Discovery of the fascinating transport properties of graphene [1-3] stimulated enormous interest in the family of 2D materials, leading to the success in the synthesis or exfoliation from bulk of different 2D materials, like h-BN, [4-6] black phosphorene, [7] silicene, [8,9] transition-metal dichalcogenides [10,11] and many others. Here, the electronic structure ranged from metallic (graphene, silicene) to insulating (h-BN) state. Although a great quantity of 2D crystals have been widely explored, most of them are lacking of intrinsic ferromagnetic (FM) ordering. Inspired by the discovery of layer-dependent ferromagnetism in insulating CrI 3 monolayer with a Curie temperature (T C) of 45 K, [12] many 2D magnetic materials have been recently synthesized, such as semiconducting Cr 2 Ge 2 Te 6 , [13] its metallic analogue Fe 3 GeTe 2 , [14] and semiconducting MnSe 2 , [15] initiating enormous attention to the field of magnetic 2D atomic crystals. [16,17] Meanwhile, some novel properties have been also predicted for the 2D magnetic materials, for example, the Dirac spin-gapless semiconductor state for NiCl 3 and h-V 2 O 3 monolayers, [18,19] topological magnetic-spin textures in Cr 2 Ge 2 Te 6 , [20] spontaneous valley splitting in 2D VAgP 2 Se 6. [21] Thus, the rapidly advancing progress in