This paper aims to propose a framework of content creating group with creativity under new convergence environments. The framework is built based on content concept hierarchy(deep/surface) relating with the creativity of group members. The diversity of group members(potential creativity) decrease and change into creative abilities in one unified view at each content concept hierarchy in time. To do this, three methods of building a creative group(interaction-base, direction-base, hybrid) are proposed. Cooperating processes and operators are designed to promote creative abilities in the content producing group. These cooperations are considering new media convergence industry's job road map(IPTV) and fundamental content attributes(semantic, narrative, discourse). In the framework, creative content is produced with the help of member's cultural openness, media richness and synchronicity, hierachical adaptability on dissimilarity. Deep level creativity of cognitive semiotics on moving image content is composed of psychological, transformational, situational creating abilities in the structure of group members. Designing analogy, metaphor, symbol operators help members to traverse deep structure of content concept hierarchy. Our framework has strong points to relate fundamental content deep structure with structure of content producing group and to induce creativity on cognitive structure of human being.