Abstract: The present invention concerns a process for permanent shaping of human hair used both for the permanent waving of human hair with an excellent waving effect as well as for the straightening of curled hair. The object of the present invention is a process for permanent shaping hair wherein a composition comprising at least one reducing agent is applied onto hair and after processing of 1 to 30 min at a temperature of 20 to 45° C. rinsed off from hair and an intermediate composition comprising at least one ubichinone of the formula where n is a number between 1 and 10, and at least one salt and at least one oxidizing agent is applied onto hair and after processing of 10 seconds to 10 min and without rinsing off a composition comprising at least one oxidizing agent is applied and rinsed off from hair after a processing time of 1 to 30 min and at a temperature of 20 to 45° C.