One of the major challanges for acoustic source localization is to eliminate the multipath distortions due to the reverberation. In this paper, we propose a novel direction finding method that is robust to multipath distortions. Since we do not make any stochastic and sparseness assumptions regarding the underlying signal source, our method can be applied to a wide range of wideband acoustic signals. In particular, we introduce a novel approach to extract the signal portions that are not distorted with multipath signals and noise. Hence, the DOA estimation can be performed without being affected from the reverberation. Simulation results show that the proposed method reliably estimates the source direction even under the significantly high reverberation conditions.