The invention relates to a device and a method for coding video images by motion compensation. The device according to the invention incorporates incorporated means of coding and means of filtering. It comprises means of calculation of a recursivity coefficient as a function of an estimated noise level and of a prediction error, means of measurement of the intra-image correlation and of the inter-image correlation, means of selection of a type of coding applied to the current input image as a function at least of the measurements of the inter-image correlation and of the measurements of the intra-image correlation and as a function of the estimated noise level means of coding of the current input image as a function of the type of coding selected.