The invention discloses a cutting bed. By the use of a structure of multiple stations, a scanning head and a cutting head, pipeline automatic continuous operation of scanning, composing, cutting and collecting for irregular-outlined fabrics such as leather being cut with the cutting bed is achieved, and utilization rate of machines and processing efficiency are greatly improved. Further disclosed is a belt conveying method of the cutting bed. The cutting bed comprises a main conveying portion and an assisted conveying portion; in the main conveying portion, a conveyor belt is clamped through a clamping device arranged on a cross beam; a beam power motor of the cutting bed is used to drive the conveyor belt to convey materials; the structure is simple, and the cost is lowered. The assisted portion employs a three-phase motor to provide power, the conveyor belt is in a critical state of not moving while being able to move, the conveyor belt is controlled to move back and forth through the cross beam and experiences very low motion resistance, the conveyor belt hardly deforms, the fabrics never move when being conveyed, and conveying precision is improved.