To provide a production method by which high purity aluminum foil having stable and high cubic orientation ratio can stably be obtained.

A high purity aluminum material having purity of ≥99.9% is subjected to primary intermediate annealing at 200°C to 400°C, is thereafter cold-rolled at a working ratio of 5 to 50%, is subsequently subjected to secondary intermediate annealing at 180°C to 350°C, is thereafter cold-rolled at a working ratio of 5 to 30%, and is subsequently subjected to final annealing. The generation of variation in the cubic orientation ratio caused by the difference in the contents of trace impurities in the material and in the production conditions is prevented, so that the aluminum foil having stable and high cubic orientation ratio can be obtained.