The present invention belongs to the technical field of laser machining equipment, and particularly relates to a laser cutting head follow-up device. The laser cutting head follow-up device comprises a stepping motor, a coupling, a bearing seat I, a shaft end support I, a rolling bearing I, a nut seat, a ball screw nut, a ball screw, a rolling bearing II, a shaft end support II, a bearing seat II, a sleeve and a nozzle. The laser cutting head follow-up device has the advantages that a guide rail is reduced, the ball screw simultaneously has the effects of transmission and guiding, a half-arc groove milled on the excircle of the nut is matched with a cylindrical pin and has good anti-loose effect, capacitive sensing is adopted, the rotation of the stepping motor is controlled through electric signals, the distance between the laser nozzle and the surface of a cut work piece can be automatically adjusted, automatic focusing is always performed, work pieces are artistic, uniformly cut and formed, and have no burrs, and the cutting quality and the cutting efficiency are greatly improved.