Flicker is an artefact appearing in old movies or in some videos, which is characterized by intensity changes from a frame to another. Some of these contrast changes are not global and may be localized only on a part of the image. In this paper, a new method to stabilize flicker in image sequences is proposed. This stabilization is local and relies on image patches. Local contrast changes are performed in order to equalize the grey level distribution of an image patch with the grey level distributions of all its corresponding patches in the previous and following frames. The correspondences of a patch are computed thanks to a similarity measure that is built to be robust to contrast changes.