In this paper, we propose a high-speed volumetric display principle that can solve two problems faced by three-dimensional displays using the parallax stereo principle (namely, the vergence-accommodation conflict and display latency) and we report evaluation results. The proposed display method can update a set of images at different depths at 1000 Hz and is consistent with accommodation. The method selects the depth position in microseconds by combining a high-speed variable-focus lens that vibrates at about 69 kHz and sub-microsecond control of illumination light using an LED. By turning on the LED for only a few hundred nanoseconds when the refractive power of the lens is at a certain value, an image can be presented with this specific refractive power. The optical system is combined with a DMD to form an image at each depth. 3D information consisting of multiple planes in the depth direction can be presented at a high refresh rate by switching the images and changing the refractive power at high speed. A proof-of-concept system was developed to show the validity of the proposed display principle. The system successfully displayed 3D information consisting of six binary images at an update rate of 1000 volume/s.