The utility model discloses a quartz tube and quartz bar continuous melting furnace. The furnace comprises a furnace body and a crucible arranged in the furnace body, wherein an insulating layer is arranged between the crucible and the furnace body; a heating device is arranged between the crucible and the insulating layer; and at least one auxiliary heating device is arranged under the heating device around the crucible. According to the continuous melting furnace, the heating device is additionally arranged outside the crucible, and the auxiliary heating device is added under the heating device, so that the temperature in the crucible (heating area) is uniform, quartz sands can be sufficiently melted, air lines and bubbles on the surface can be reduced, and the surface quality can be improved. Furthermore, different powers of the heating device and the auxiliary heating device can be controlled, and the viscosity of the quartz sands at the bottom of the crucible can be regulated, so that the uniformity, quality and surface effect of a quartz tube can be guaranteed.