The invention discloses a weather-resistant steel coil surface quality control method and a hot-rolling process heating furnace. The method comprises the steps of: putting a weather-resistant steel continuous cast plate blank into the hot-rolling process heating furnace, heating for a first time period at a first temperature to obtain a hot blank; when the first time period is smaller than or equal to 360 minutes, carrying out a post-treatment process on the hot blank, thereby obtaining a weather-resistant steel hot-rolled steel coil with a surface copper brittleness defect detection rate small than a threshold value; when the first time period is greater than 360 minutes, cleaning the upper surface of the cooled hot blank by adopting a flame cleaning method to obtain a reworked plant blank; and feeding the reworked plate blank into the heating furnace to be reheated. According to the method and the heating furnace provided by the invention, technical problems of too high requirements on hot-rolling equipment or great operation difficulty of hot-rolling equipment, and a difficult-to-apply production line in the prior art are solved. The technical effects of surface copper brittleness defect reduction of the weather-resistant steel coil and easy production line application are achieved.