Cyber morality crisis is a social ethic morality issue. The shortage or missing of cyber culture rationality is the deep social root of cyber morality crisis. The core value orientation of cyber communicative ethic includes the unification of freedom, opening and criterion, order and rationality, the unification of public consciousness and individual cultural self-consciousness and the unification of the respect for the numbers, limited sharing and mutual benefit. The teenagers' cyber moral education must face the re-construction of cyber communicative ethic with cyber culture as its communicative media.