With the continuous transformation of modern production and lifestyle, financial consumer’s demands on financial products and services in terms of timeliness, convenience, individualization, intelligence and customization are increasing. Smart finance means that on the basis of information technology such as cloud computing, it can make funds more convenient, faster, wider, more efficient and safer, and realize the scientific management system of financial business, management, security and other financial activities and the intelligent improvement of management ability. Cloud computing is a new infrastructure management method, which can combine a large number of highly virtualized resource management, form a huge resource pool and provide services uniformly. Smart finance based on cloud computing technology has brought a new change to the financial industry, making traditional financial services step into a higher stage in the internet era. Smart finance innovation under cloud computing is premised on cloud computing of basis resources, management system, business system and service security. Through interview method and literature analysis, this paper presents an index system of smart finance innovation based on cloud computing, which includes four first-level indicators and sixteen second-level indexes. Based on the AHP-Entropy method, this paper gives the weight of each index, which can provide reference for relevant researchers. The research objects of this paper are mainly enterprises. In fact, smart finance can be applied to enterprises or individuals. For different enterprises and individuals, with the more comprehensive and timely collection and analysis of customer-related data, we can provide a full process, systematic and personalized intelligent financial services based on cloud computing.