Electronic, structural, and magnetic properties of Pt dichalcogenide monolayers are investigated using first-principle calculations. We find that hydrogenation lifts the spin degeneracy in a narrow antibonding Pt 5d subband electrons and transforms the nonmagnetic semiconductors PtX 2 (X = S, Se, Te) into ferromagnetic metals, PtX 2 -1H. In contrast to earlier research, neither strain nor thin-film edges are necessary to support the transition. The trend towards ferromagnetism is most pronounced for X = S, decreasing with increasing atomic weight of the chalcogens.