Abstract: The speed of image reconstruction is an important indicator of the CT imaging systems. With the latest developments in CT system and the increasingly demand on the size of reconstruction object and reconstruction speed, the research on CT acceleration reconstruction has been a hot research on CT. In this paper, several major technology’s of acceleration reconstruction are summarized based on software and hardware. The applicability and advantages of FPGA for acceleration reconstruction is discussed due to its characteristic. The theory and development of FPGA acceleration reconstruction are introduced. The key problems such as data structure, data access and storage efficiency, high-level language are analyzed. Finally, the prospect of acceleration reconstruction based on FPGA is viewed.