In this work, we present a fast and parametric method to achieve tonal stabilization in videos containing color fluctuations. Our main contribution is to compensate tonal instabil-ities with a color transformation guided by dominant motion estimated between temporally distant frames. Furthermore, we propose a temporal weighting scheme, where the intensity of tonal stabilization is directly guided by the motion speed. Experiments show that the proposed method compares favorably with the state-of-the-art in terms of accuracy and computational complexity.