The invention relates to a concave rolling machine, in particular to a flame-retardance tipping paper concave rolling machine, a machining process of a flame-retardance tipping paper and the flame-retardance tipping paper. The machine comprises a frame, and a plate roller arranged on the frame; the frame is provided with an induction device for preventing deviation of the tipping paper; the induction device comprises a connecting rod connected with the frame by two ends and parallel to the plate roller, and sensors arranged at two ends of the connecting rod and corresponding to the plate roller; and an adjusting mechanism for adjusting the distance between the two sensors is arranged between the sensor at each end of the connecting rod and the connecting rod. The flame-retardance tipping paper concave rolling machine, the machining process of the flame-retardance tipping paper and the flame-retardance tipping paper achieve the flame retarding effect, and can discover the deviation problem of the tipping paper in the printing process in time.