Numerical solutions are presented for the natural convection flow along a vertical wavy cone situated in the thermally radiating fluid. The fluid flow and heat transfer characteristics are analyzed for the fluid having temperature dependent viscosity and thermal conductivity. After the primitive variable formulations, the transformed equations are integrated numerically through implicit finite difference method. Computational results are carried out for a range of physical parameters and interpreted in the form of skin friction coefficient, Nusselt number coefficient, streamlines and isotherms. The calculations show strong influence of thermal radiation parameter on the velocity and temperature fields. It is also reported that variable fluid properties sufficiently alter the important physical quantities and the quantitative analysis determines that it is likely to be more than 50%.