We demonstrate that valley polarization can be induced and controlled in semiconducting single-layer transition-metal dichalcogenides by magnetic doping, which is important for spintronics, valleytronics, and photonics devices. As an example, we investigate Mn-doped MoS 2 by first-principles calculations. We study how the valley polarization depends on the strength of the spin orbit coupling and the exchange interaction and discuss how it can be controlled by magnetic doping. Valley polarization by magnetic doping is also expected for other honeycomb materials with strong spin orbit coupling and the absence of inversion symmetry. The fields of electronics and spintronics require an active control and manipulation of the charge and spin degrees of freedom [1]. Valleytronics, on the other hand, is very new field that relies on the property that the conduction/valence bands have two or more minima/maxima at equal energy but different momenta. For valleytronics devices it is necessary to induce valley polarization, i.e., control the number of electrons in each valley, typically by strain [2] or a magnetic field [3,4]. In general, two-dimensional materials have raised a lot of interest both for fundamental and applied reasons. Examples are semiconductor quantum wells [5], noble metal surfaces [6], graphene [7], and topological insulators [8]. Semiconducting single-layer transition metal dichalcogenides MX 2 with M = Mo, W and X = S, Se, Te and the D 3h point group have caught attention, because they display distinctively different physical properties as compared to their bulk compounds with the D 6h point group. There exists a crossover from an indirect band gap in multilayers to a direct band gap in the single-layer limit [9][10][11][12]. In the latter the conduction and valence band edges are located at the K points of the two-dimensional hexagonal Brillouin zone. These two inequivalent valleys constitute a binary index for low energy carriers, which gives rise to a valley Hall effect and valley dependent optical selection rules for interband transitions at the K points [13][14][15]. It has been demonstrated that optical pumping with circularly polarized light can achieve a dynamic valley polarization in single-layer MoS 2 [16][17][18]. However, from the application point of view an equilibrium valley polarization is desirable, which is the topic of the present paper.The interplay between spin orbit coupling and ferromagnetism in two-dimensional materials gives rise to a variety of unconventional phenomena, such as the quantum anomalous Hall effect [19][20][21][22]. In addition, it recently has been put forward that dichalcogenides doped with magnetic transitionmetal atoms form a promising platform for two-dimensional dilute magnetic semiconductors [23][24][25]. However, these studies did not take into account the spin orbit coupling, which interconnects the spin and valley physics. We propose in this paper a method to control the valley polarization by magnetic doping. Various possible Mn doping sites in single-l...