Abstract Many chemical Engineering processes can be modeled as flow over a moving surface. Viscous nanofluid flows play very important role in chemical engineering. This study presents the flow analysis of MHD Nanofluid over a Moving Surface in the Presence of Thermal Radiation and Viscous Dissipation and with effect of Slip Conditions. The governing partial differential equations were reduced to set of nonlinear ordinary differential equations and then solved by using the Homotopy Analysis Method (HAM). The effects of non- dimensional parameters are graphically represented and the results are verified with previous authors’ results. The solutions mainly depend on slip parameters, suction parameter and surface porosity parameter. The velocity, temperature and concentration profile decreases, as the value of velocity slip parameter S 1 increases.