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In this paper, a new multichannel spatio-temporal filter is described for color video sequences restoration with the presence of non-Gaussian zero-mean additive noise. To address this problem, we propose a multichannel L-filter optimized by the least mean Kurtosis (LMK) algorithm. Prior to filtering, motion compensation is performed by a robust simultaneous estimation for all color components using an affine linear model. Then, we apply the proposed filter to the reconstructed frames. Experiments were performed on real color video sequences, and performance comparisons have been made both in RGB and L*a*b* color spaces.