We report on a possible optical tuning of the spin Hall conductivity in mono-layer transition metal dichalcogenides. Light beams of frequencies much higher than the energy scale of the system (the off-resonant condition) does not excite electrons but rearranges the band structure. The rearrangement is quantitatively established using the Floquet formalism. For such a system of mono-layer transition metal dichalcogenides, the spin Hall conductivity (calculated with the Kubo expression in presence of disorder) exhibits a drop at higher frequencies and lower intensities. Finally, we compare the spin Hall conductivity of the higher spin-orbit coupled WSe 2 to MoS 2 ; the spin Hall conductivity of WSe 2 was found to be larger.The transition metal dichalcogenides (TMDCs) are layered materials of covalently bonded atoms held together by weak van der Waals forces 1 and represented by the formula MX 2 where M is a transition metal element from group IV-VI while X denotes the chalcogens S, Se, and Te. The bulk TMDC when mechanically exfoliated gives a layered two-dimensional configuration of atoms with distinct characteristics.2 For instance, a single layer of TMDC has high electron mobility, a direct band gap, absence of dangling bonds and can be stacked in vertical layers 3 to form hetero-junctions with clean interfaces. The dispersion of a single layer of TMDC also supports a rich variety of condensed matter phenomena, notably the coupling of the valley and electron spin degree of freedom 4 without an external magnetic field. The coupling of the spin and valley degree of freedom is most easily observed at the time reversed pair of valley-edges K and K ′ and in their immediate vicinity. Interestingly, this dispersion, as shown in Ref. 5 can be modulated by light under off-resonant conditions 6 to give rise to a valley-dependent tuning of the band gap and an overall alteration of the carrier transport characteristics.In this letter, we focus on spin currents in mono-layer TMDCs through a quantitative evaluation of the interband spin Hall conductivity (SHC). Spin currents can be generated in solid-state systems via spin-dependent scattering from charged impurities due to spin-orbit (so) coupling-the extrinsic spin Hall effect (SHE) or through a band structure modification using built-in fields aided by so-interaction, commonly termed the intrinsic SHE. The SHE is a standard method to generate and detect spin currents and is usually manipulated with an external electric field. We present an alternative approach where an external light source modulates the spin current (SHE-generated) which manifests as a change to the SHC. A sufficiently strong spin-orbit coupling is however necessary to induce a tangible deflection of the carriers based on their intrinsic spin polarization. The choice of mono-layer TMDCs as a test bed for our work is driven by the fact that their spin response properties exhibit an intermediate behavior between the one observed for graphene with massless Dirac fermions and an ordinary system of convention...