The information society based on Internet has positive effects to provide us with abundance and comfort as well as enhancement of quality of life. But it also has negative effects which bring about more serious social problems than real life. These negative effects of the cyber space are especially critical to elementary school students who do not have good judgment capability and clear concept on cyber space. To solve these problems, we have to let them have ethical sense to respond to the dysfunctions of Internet. We need to enforce Internet ethics education at home and in school so that they can behave as responsible and moral behaviors in this information society. Because the most of the elementary school students usually use Internet at home, the role of their parents can be particularly important factor in Internet ethics education. The purpose of this paper was to identify the current status of the consciousness on Internet ethics of the elementary school students who are the creators of new culture on Internet and their parents who make great influence on their education, and to study what influence the consciousness on the Internet ethics of parents has made on the Internet usage of their children. Through this study, we try to provide the desirable direction for Internet ethics of elementary school students.