Engineering science and technology is strongly linked with production, and is the most direct driving force for the Two Centenary Goals of China. The main tasks of medium- and long-term strategic research on engineering science and technology are to design a development route for China's engineering science and technology aim toward scientific and technological power, based on China's situation and development requirement analyses. This paper introduces the methodology applied in our project for medium- and long-term development strategy research on engineering science and technology, and proposes a general idea and strategic framework for China's engineering science and technology development to 2035.