Abstract: A roll pressing machine includes a support, a stationary roller unit disposed on the support and having a stationary roller, a self-modulating roller unit, a swingable body, and a biasing unit. The self-modulating roller is disposed movably on the support and has a moving roller adapted for pressing a blank against the stationary roller. The moving roller is movable toward or away from the stationary roller to vary a gap between the stationary and moving rollers. The swingable body is coupled to the moving roller. The biasing unit includes a pusher member pushing resiliently the swingable body so that the moving roller moves toward the stationary roller.