This paper extends the principle of self-suppression of oscillations employed in continuous systems to non-linear sampled-data systems with transportation lag. The principle is based on the proper design of a. minor feedback loop to generate an oscillation with the desired frequency and amplitude. The type of response of the system is shown to depend entirely on the gain of the inner feedback path. Further it is shown that larger values of delay require larger gains to be employed in the inner feedback path to suppress the inherent oscillation. The results clearly indicate that by proper adjustment of the gain a response said to be optimum in regard to Borne performance index can be obtained.