The invention relates to a material paving device and a material paving method of a cutting machine. The material paving device comprises a paving table which is arranged on one side of a cutting table, a projector, a camera and an alarming device, wherein the projector is arranged above the paving table and used for projecting the appearance of a material to be paved onto a table-board of the paving table in an isometric projection area, the camera is connected with a control system of the cutting machine and used for snapshotting the table-board of the paving table, and the alarming device is connected with the control system of the cutting machine. Compared with the prior art, the appearance of the material to be paved can be projected by the projector onto the table-board of the paving table in the isometric projection area, the positioning of the material in paving is realized, in the real application process, the picture of the table-board of the paving table is shot by the camera and uploaded to the control system, whether the projection area in the picture is covered by the material is judged by the control system, and the alarming device is powered on to issue the alarm after the condition that the projection area is not covered by the material is determined, so that the error caused by the manual paving can be avoided.