We classified collaboration types of Government-supported Research Institutes (GRIs) in Korea to make a creation knowledge with the openness and the diversity. The openness is described to collaboration dependence and leading intensity, and the diversity is expressed to collaboration diversity and collaboration concentration. We suggest four taxonomy models explained in terms of the openness and the diversity with country level and institute level. This study uses 39,507 papers in SCOUPS DB that include author(s) affiliated to 26 GRIs. It concludes that many GRIs is classified to the type of multilateral collaboration follower in institute level and to the type of global network player in country level from the perspective of openness. In the aspect of diversity, many GRIs is concentrated to the collaboration type of picky eater or monophagous in institute level and to the multinatioal asymmetry type or non-multinational asymmetry type in country level. It is necessary for GRIs to lead collaboration and to transfer inhouse R&D institutes with high performance to be competitive institutes which make high quality knowledge.