The invention relates to the field of industrial machinery, in particular to a rail-type laser circular piece cutting machine which comprises a base. Damping devices are symmetrically arranged at the bottom of the base; first motors are rotatably connected with worms through couplings; the top of a goods carrying platform is fixedly connected with a goods supporting platform through a pressing-resisting device; and the outer surfaces of the worms are engaged with worm gears in a transmission mode, and the middle position of a platform is fixedly connected with a clamping device. Circular ring tooth grooves are formed in the positions, close to the worm gears, of the bottom of the platform; an output shaft of a second motor is rotatably connected with a screw rod through a coupling; the outer surface of the screw rod is connected with a threaded sliding block in a threaded mode; the bottom of the threaded sliding block is fixedly connected with a laser transmitting device; and an output shaft of a third motor is fixedly connected with a first gear through a flat key. Buffering and moving of the laser vertical position are achieved, the problems of the cutting precision and the cutting thickness are solved, thus a laser can move horizontally, and the problems that the cutting radius is too small and cannot be changed are solved.