The aim of green innovative design is to improve environment efficient by function innovation. In order to help designer to generate new product ideas giving attention to customer needs and environment demands, a green innovative design framework based on function analysis is proposed. This framework integrates green design rules and environment factors into the process of function innovation. By analyzing and resolving the functions that will bring environment loads, the new product ideas with low environment impact and energy consumption are obtained. A case study is also presented to illustrate the effectiveness of the proposed design framework.