A low-cost, low-crosstalk, and full-resolution autostereoscopic three-dimensional (3D) display system is described in this paper. The vivid 3D image is realized with the crosstalk below 10%. The full resolution of the display panel is retained by displaying left and right images sequentially and switching the light emitting diode (LED) directional backlight in synchronism with this. An eye position tracker is used to control the output of the LEDs with a liquid crystal spatial light modulator (SLM) so that the left and right exit pupils formed are located at the user's left and right eyes. The depth of this system is less than 20 cm and the cost are considerably lower than commercial 3D display systems, which makes it suitable for domestic desktop 3D display applications.