The effect of temperature dependent viscosity μ(T), on steady two-dimensional natural convection flow along a vertical wavy cone with uniform surface heat flux, has been investigated numerically. Viscosity is considered to be a linear function of temperature T. Using the appropriate variables, the Navier-Stokes and energy equations are transformed into non-dimensional boundary layer equations and then solved numerically employing marching order implicit finite difference method with double sweep technique. The effects of viscosity variation parameter on the velocity profile, temperature profile, velocity vector field, skin friction coefficient, average Nusselt number, streamlines, and isotherm have been discussed by graphical representation.