Floating three-dimensional (3-D) display can provide a natural and realistic 3-D scene. Nowadays, because of stray light and aberration, most floating 3-D displays cannot realize a large viewing angle and high resolution simultaneously, and it directly deteriorates the viewing effect of the 3-D scene. A large viewing angle floating and high-resolution 3-D display based on multichannel and multivariable (MCMV) correction algorithm are presented. The optical system consists of a time-sequential autostereoscopic 3-D display with the directional backlight, a floating lens, and an eye tracker. The 3-D display with the directional backlight provides loss-free resolution for the system. To realize a large viewing angle floating 3-D display, MCMV correction algorithm based on eye tracking is proposed. The 3-D images can be reconstructed by the optical system within the viewing angle of 60 deg. The feasibility of the proposed display method is verified with the experimental results.