Abstract:The formation and development of regional innovation development capability benefits from the innovation development of cross administrative regions, which is an important national strategy. However, there is no research on the cross administrative regional innovation development capacity. This paper analyses the innovation development capability, and constructs the evaluation index system from four aspects, including innovation policy, innovation input, innovation output and open development, and the evaluation index system contains 36 three-level indicators. Based on the data of 31 provinces, the weight and correlation degree are determined by entropy method and grey relational model; the ranking and correlation degree of eight economic regions are determined by TOPSIS and grey relational model. The research provides a new perspective for the evaluation of cross administrative region innovation development capacity.