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In this study, the flow of Magnetohydrodynamic (MHD) Carreau fluid down an inclined plane with viscous and magnetic dissipation and no slip boundary conditions was analyzed. The derived non-linear ordinary differential equation was solved analytically using perturbation method with MAPLE software. For no slip boundary case, the effects of some physical dimensionless parameters such as Magnetic field (M), Gravitational force (G), and Brinkmann number (Br) on both the velocity and temperature on the flow of the fluid were analyzed through the tables and graphs. The result shows that as Magnetic parameter increases, the velocity and temperature distribution decreases and increases as the gravitational parameter and the Brinkmann number increases with no effect on the velocity profile. For future work, Carreau and Carreau-Yasuda model can be compared using the same set of parameters.