Apparatus for moving logs (2) within cutting-off machines. The apparatus includes a platform (1) with one or more longitudinal channels (10) inside which the logs to be cut are disposed, and a pusher device (3) acting in correspondence of the platform (1) and intended for acting on the back of the logs (2) to push them, along respective guide channels (10), toward a cutting device (4) disposed downstream. The apparatus includes a clamping device (5) disposed intermediate between the pusher device (3) and the cutting device (4) and intended for engaging the logs (2) which are pushed along the channels (10) of platform (1) by the pusher device (3) and driving them along up to the cutting device (4).