The invention relates to the field of production of stainless steel welded tubes, in particular to a production method of a ferritic stainless steel welded tube. The method comprises the following steps: selecting a stainless steel strip with thickness of 2-3mm, wherein the stainless steel strip is prepared from the following components in mass percent: 0.01-0.03% of C, 0.20-1.00% of Si, 1.00-2.50% of Mn, less than or equal to 0.040% of P, less than or equal to 0.015% of S, 11.00-13.00% of Cr, 0.50-1.00% of Ni, 0.2-1.00% of Cu, 0.10-0.25% of N, 0.10-0.35% of Ti, less than or equal to 0.002% of O, and the balance of Fe and unavoidable impurities; and then uncoiling and flattening the steel strip, arranging rollers for forming, removing burrs inside and outside the welded tube, carrying out thermal treatment, and carrying out cold correction on the welded tube. The welded tube prepared by adopting the method disclosed by the invention is high in dimension precision, and can meet the requirements of tubes for carrier rollers used in long-distance, large-volume and high-speed belt conveyer conveying environments.