The invention relates to a design method for dreg slide plate curved surfaces of a heading machine cutter head, and belongs to the field of design methods for heading machine cutter head structures. In the surface design method, technical performance requirements for the overall heading machine cutter head, construction requirements and requirements for smooth dreg removal of the cutter head are taken into consideration, the dreg discharging track on conventional dreg slide plates is changed, and shapes of dreg slide plate curved surfaces of the cutter head are constructed according to the steepest descent curve. The design method includes respectively designing a first, a second, a third, a fourth, a fifth and a sixth dreg slide plate curved surfaces of the cutter head, and uniformly welding the designed dreg slide plate curved surfaces to a back panel of the cutter head and supporting plates on the periphery of the cutter head. In application of the cutter head dreg slide plate curved surfaces designed by the method, dregs slide smoothly and sequentially, the cutter head dreg discharging efficiency is increased, vibration and noises of the heading machine are reduced effectively by means of changing the dreg discharging track, and research cycle of the heading machine is shortened; therefore, heading service life of the heading machine cutter head is prolonged and economic loss caused in engineering is reduced.