It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper a specific approach to this problem is used, which is different from the standard way to treat the radiation damping problem. An supersymmetric extension for the model describing radiation damping on the noncommutative plane with electric and magnetic interactions was obtained. The entire supercharge algebra and the total Hamiltonian for the system were analyzed. Finally, noncommutativity features were introduced and their consequences explored.