A method and device are provided for synchronizing the presentation of audio frames and/or of video frames comprises the detection of presentation time stamps in a stream of frames. The presentation instant indicated by a time stamp is compared with a time delivered by a local reference clock. Depending on a variance and on an average of values of deviation between presentation instants and corresponding times indicated by the clock, the clock can be initialized according to the presentation instant indicated by a time stamp or the presentation of the frames can be adjusted.