The invention belongs to the technical field of laser cutting and particularly relates to a laser continuous cutting device having a dedusting function. The laser continuous cutting device comprises a dedusting mechanism and a laser cutting mechanism. The laser cutting mechanism comprises a laser head and a cushion seat module. The cushion seat module comprises a center shaft, a rotating roller and a fixed roller. The rotating roller and the fixed roller have the same radius, the fixed roller is connected with the rotating roller through the center shaft and is fixed relative to the center shaft, and the rotating roller can rotate relative to the center shaft. When a pole piece is cut, the pole piece adheres to the rotating roller by means of tension provided by mechanical transmission during the feeding, and a to-be-cut pole lug reserved area on the pole piece adheres to the fixed roller. The linear velocity of the rotating roller and the feeding speed of the pole piece are the same, so that no sliding friction occurs between the pole piece and the rotating roller, and the damage to the pole piece caused by the sliding friction between the pole piece and the rotating roller is avoided.