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A new variable step-size algorithm based on an order statistic normalised averaged least mean square algorithm (OSNALMS) is proposed for frequency domain equalisation (FDE). An optimal variable step-size approach is introduced by means of mean square deviation scheme. An adaptive FDE approach based on a variable step-size OSNALMS algorithm is presented with regard to the proposed optimal variable step-size algorithm for orthogonal frequency division multiplexing systems. We present simulation results to compare the proposed algorithm on the basis of its performance and rate of convergence. Simulation results show that the bit error rate (BER) as well as the mean square error (MSE) can be reduced by the proposed algorithm.