The magnetohydrodynamic (MHD) flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equations are converted into the ordinary differential equations by suitable transformations. The transformed equations are solved by the homotopy analysis method (HAM). The expressions for square residual errors are defined, and the optimal values of convergence-control parameters are selected. The dimensionless velocity and temperature fields are examined for various dimensionless parameters. The skin friction coefficient and the Nusselt number are tabulated to analyze the effects of dimensionless parameters.