Integral Imaging is a technique used to reconstruct light field in real space,which is capable for multi-viewers at the same time,and no additional accessory is needed and is easy to build as well,so it has the potential to be widely used among research,medical and entertainment,etc.However this traditional Integral Imaging has its limitation such as low resolution and restricted viewing angle,it has to make comprise among all those display parameters and to have no high performance for all the parameters and it would cost too much.So it is proposed to introduce Holographic Functional Screen into Integral Imaging that could reduce the cost.This paper present the theory of the Holographic Functional Screen based Integral Imaging and derived the formulae for display parameters.Those formulae can be used to design a display system for specific application and experiments is executed to verify the usefulness of the formulae.The experiment build a system with display resolution 790×444,the angle of view 60°,which are close to the parameters of Liquid Crystal Display system at its early stage,it may not be long for this technique comes into our life.