Squeeze film dampers (SFDs) are supporting damping structures, which can improve dynamic characteristics of a rotor system. There are two kinds of squeeze film dampers composed of different structures being been widely used in engineering. Until now, many theoretical and technical problems, such as unstable damping effect and rotor instability are needed to investigate intensively. In fact, nonlinear dynamic mechanism of SFD dampers, accurate modeling methods and dynamic optimized design methods are still important topics. This paper introduces main structures and failure modes of two typical SFD firstly. Then, representative research reports of SFD dynamic analysis and optimal design methods in the development process are described in details,including SFD dynamics characteristics, rotorSFD system dynamic characteristics, SFD dynamic design and optimization, etc. The achievements of experiments on SFD are also reviewed breifly. Therefore, the urgent research task for largescale squeeze film damper or ERSFD for advanced aeroengines are proposed. Finally, reserarch topics of SFD dynamic modeling, analysis and design optimization based on fusion of datadriven and dynamic analytical model are emphasized.