Abstract: The invention relates to a method of making tubes of Zirconium alloys containing 1-5 percent by weight of alloying elements such as Sn, Fe, Cr and Ni. According to the invention an improved corrosion resistance can be reached by means of annealing after extrusion and between cold rollings within a well defined temperature range in the .alpha.-phase zone during considerably longer times than standardized for the purpose of reaching equilibrium between secondary phase particles and Zirconium matrix and in that way a minimum content of Fe in solid solution.