With the development of 5G, the applications impose more diverse and higher performance demands on the infrastructure capability of Edge Cloud. In order to meet the demands, many hardware-based Edge Cloud Application Acceleration schemes have been proposed. However, to ensure the vigorous development of Edge Cloud applications, how to efficiently match and schedule the acceleration capability of edge cloud applications with the diverse acceleration demands of edge cloud applications is one of the indispensable prerequisites. In this paper, an intelligent general acceleration framework for Edge Cloud applications is proposed, which mainly solves the following problems: first, distinguish and model the acceleration demands of applications accurately; second, abstractly model and classify the general acceleration capabilities; third, detect the initial period of application acceleration, and provide intelligent policy scheduling framework according to test results. And the framework achieves accurate matching and scheduling between application acceleration demands and general acceleration capabilities. So, the Intelligent Universal Acceleration Framework can accelerate the application of Edge Cloud accurately, and ensure the efficient utilization of resources. In addition, bandwidth-intensive, face recognition and enterprise VPN gateway are used to validates that the Intelligent Universal Acceleration Framework is helpful to analyze, match and schedule the acceleration demands of applications and the general acceleration capabilities of infrastructure.