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In present article, hydromagnetic transport of dust particles in gas flow over an inclined plane is examined under the influence of thermal radiation and viscous dissipation. The Rosseland diffusion flux model is utilized for thermal radiation effects. The resulting non-linear ordinary differential equations are converted into similar forms via suitable similarity transforms and then tackled numerically by bvp4c built in code of Matlab software. The influences of numerous emergent parameters on flow features like velocities, temperature distributions and Nusselt number are depicted graphically and discussed in detail. Keywords: MHD, Thermal radiation, Inclined plane, Dusty gas, Viscous dissipation