Ethical Responsibility is defined as the duty of an individual to follow the right path. Just like personal life, even in your professional life, one has certain responsibilities.
These responsibilities vary from individuals profession to profession. As a professional, you also have an ethical responsibility. It can be towards the company, your customers or stake holders. For example, a person running a small store should have the responsibility, to be honest with his staff and customers.
If you are working for a company, you should follow the morals and interpret the principles and values as per the standards set by the organisation.
In every profession, there is a department of standards and ethics, these departments duty is to set the standards for professionals working under them and governing them.