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In this article, a modification of Differential Evolution (DE), Fitness-Adaptive Differential Evolution (FiADE) is used to design the quadrature mirror filter (QMF) banks with linear phase in frequency domain. The three main attributes used in assessing the performance of filter are reconstruction error, mean square error in pass band and mean square error in stop band. The proposed method produces better result than the result obtained by Particle Swarm Optimization (PSO). As compared to the existing methods this method is very simple to implement for the QMF bank optimization. To implement the proposed DE algorithm, a MATLAB program is developed and three examples have been presented to illustrate the performance of the proposed method.