The invention discloses a method for non-contact laser cutting of a quartz glass product and a device thereof. The method comprises the following steps: firstly firing the quartz glass product with a laser beam emitted by a laser generator to form a groove, and then cutting off by using a pneumatic unit. The device provided by the invention comprises a laser automatic cutting unit and the pneumatic unit. According to the invention, the product quality can be guaranteed, crevasses can be reduced, the consistency of the kerf and the kerf section can be guaranteed, waste is reduced, thus the operation is safe; and the laser cutting has noncontact with the quartz glass tube or quartz glass rod, thus the speed of drawing is raised, the production cost is reduced, the labor intensity is reduced, and the yield is raised.