Abstract: Convergent science is the horizontal expansion and deepening of interdisciplinarity, committed to solving the major economic and social problems, which cannot be solved by traditional single discipline or interdisciplinary. On the premise of limited scientific and technological resources, the priority setting for science and technology identifies the fields and directions, major tasks or related actions that will be given priority support to in the strategic layout in the future. The priority setting of convergent science is helpful to optimize resource allocation and improve efficiency. On the basis of comprehensive comparison of methods of priority setting, we analyze the problems of priority setting of convergent science. In this paper, we analyze the limitations of the existing priority setting methods in the field of convergent science, and put forward the basic characteristics, main models and characteristics of the priority setting of convergent science. We clarify the problem definition, propose an objective function, and build a set of feature constraints, target constraints, resource constraints, and capability constraints under the boundary conditions of government funding, reciprocity boundaries, information intelligence, and convergence science, to form a method of priority setting in the convergence science. We hope that it will be helpful for science and technology decision-making departments to identify and select the fields in convergence science to give priority support.