We propose an integral three-dimensional (3D) display system with a wide viewing zone and depth range using a time-division display and eye-tracking technology. In the proposed system, the optical viewing zone (OVZ) is narrowed to a size that only covers an eye to increase the light ray density using a lens array with a long focal length. In addition, a system with low crosstalk with respect to the viewer’s movement is constructed by forming a combined OVZ (COVZ) that covers both eyes through a time-division display. Further, an eye-tracking directional backlight is used to dynamically control the COVZ and realize a wide system viewing zone (SVZ). The luminance unevenness is reduced by partially overlapping two OVZs. The combination of OVZs formed a COVZ with an angle that is ∼1.6 times larger than that of the OVZ, and an SVZ of 81.4 deg and 47.6 deg for the horizontal and vertical directions, respectively, was achieved using the eye-tracking technology. The comparison results of the three types of display systems (i.e., the conventional system, our previously developed system, and our currently proposed system) confirmed that the depth range of the 3D images in the proposed system is wider than that of the other systems.