An aqueous oxidizing acidic cleaning solution or an aqueous oxidizing alkaline cleaning solution is produced by mixing an acidic or alkaline solution with ozone water. An aqueous reducing acidic cleaning solution or an aqueous reducing alkaline cleaning solution is produced by mixing an acidic or alkaline solution with hydrogen water. Each of these aqueous cleaning solutions has effective cleaning power and the ORP and pH values thereof are separately controlled. Therefore, by selecting an appropriate aqueous cleaning solution according to the types of contaminants adhering to subjects duringeach manufacturing step, a plurality of types of contaminants can be removed by washing with one type of aqueous cleaning solution.