A LED-based integral imaging display system as well as its control method and device, including: a parameter matching step: matching the parameters of the lenslet array and LED in the display part of said LED-based integral imaging display system to obtain the display parameters. The display parameters include the basic parameters of the display part, and the corresponding optical imaging models, which match with the basic parameters, in different stereoscopic display modes. A video source acquisition step: according to the display parameters, acquiring the integral imaging video sources required by LED-based integral imaging naked-eye stereoscopic display, which is used for the to-be-displayed 3D image.