A surface-treated steel sheet for a container, comprising: a steel sheet, and a Zr compound film disposed on the steel sheet, wherein the Zr compound film being formed by a dipping or electrolytic treatment in a solution containing Zr ion, F ion, ammonium ion and nitrate ion; and the coating weight of the Zr compound film is 1 to 100 mg/m2 in terms of the amount of metallic Zr, and 0.1 mg/m2 or less in terms of the F amount. There is provided a steel sheet for container, which has an excellent processability in the can manufacturing, and at the same time, is excellent in drawing and ironing processability, weldability, corrosion resistance, adherence thereof to a coating material and adherence thereof to a film, and a process for producing such a steel sheet for container.