This paper discusses a better design of driving sequence used for the parametric estimation in nonlinear systems. An effective design methodology based on DNA computation and chaotic dynamics was utilized to generate these sequences. The proposed scheme optimizes the initial condition of the chaotic system using DNA computation to produce better input sequences. Furthermore, input sequence with good performance for various lengths could be produced using the proposed method. The effectiveness of the proposed design methodology is illustrated in parametric identification of nonlinear moving average systems. Numerical simulation results clearly show the improved performance of the sequence obtained using the proposed scheme over the conventional sequences